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Finding the Fourth Proportional to 563,142.76, 777,192.78 and 321,461.70

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Solution

The fourth proportional to 563,142.76, 777,192.78 and 321,461.70 is: 443,648.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,142.76 : 777,192.78 = 321,461.70 : x
  2. Step 2: Convert to fraction form
    563,142.76/777,192.78 = 321,461.70/x
  3. Step 3: Cross multiply
    563,142.76x = 777,192.78 × 321,461.70
  4. Step 4: Simplify right side
    563,142.76x = 249,837,712,286.53
  5. Step 5: Solve for x
    x = 249,837,712,286.53/563,142.76
  6. Step 6: Final answer
    x = 443,648.98

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Double scale
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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.