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Finding the Fourth Proportional to 563,649.90, 777,843.27 and 321,964.62

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Solution

The fourth proportional to 563,649.90, 777,843.27 and 321,964.62 is: 444,314.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,649.90 : 777,843.27 = 321,964.62 : x
  2. Step 2: Convert to fraction form
    563,649.90/777,843.27 = 321,964.62/x
  3. Step 3: Cross multiply
    563,649.90x = 777,843.27 × 321,964.62
  4. Step 4: Simplify right side
    563,649.90x = 250,438,012,845.11
  5. Step 5: Solve for x
    x = 250,438,012,845.11/563,649.90
  6. Step 6: Final answer
    x = 444,314.84

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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.