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Finding the Fourth Proportional to 420,915.78, 580,842.12 and 229,892.27

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Solution

The fourth proportional to 420,915.78, 580,842.12 and 229,892.27 is: 317,239.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,915.78 : 580,842.12 = 229,892.27 : x
  2. Step 2: Convert to fraction form
    420,915.78/580,842.12 = 229,892.27/x
  3. Step 3: Cross multiply
    420,915.78x = 580,842.12 × 229,892.27
  4. Step 4: Simplify right side
    420,915.78x = 133,531,110,574.20
  5. Step 5: Solve for x
    x = 133,531,110,574.20/420,915.78
  6. Step 6: Final answer
    x = 317,239.50

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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.