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Finding the Fourth Proportional to 563,144.76, 777,195.54 and 321,463.71

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Solution

The fourth proportional to 563,144.76, 777,195.54 and 321,463.71 is: 443,651.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,144.76 : 777,195.54 = 321,463.71 : x
  2. Step 2: Convert to fraction form
    563,144.76/777,195.54 = 321,463.71/x
  3. Step 3: Cross multiply
    563,144.76x = 777,195.54 × 321,463.71
  4. Step 4: Simplify right side
    563,144.76x = 249,840,161,683.85
  5. Step 5: Solve for x
    x = 249,840,161,683.85/563,144.76
  6. Step 6: Final answer
    x = 443,651.76

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.