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Finding the Fourth Proportional to 415,140.16, 572,694.56 and 399,045.44

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Solution

The fourth proportional to 415,140.16, 572,694.56 and 399,045.44 is: 550,491.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,140.16 : 572,694.56 = 399,045.44 : x
  2. Step 2: Convert to fraction form
    415,140.16/572,694.56 = 399,045.44/x
  3. Step 3: Cross multiply
    415,140.16x = 572,694.56 × 399,045.44
  4. Step 4: Simplify right side
    415,140.16x = 228,531,152,680.81
  5. Step 5: Solve for x
    x = 228,531,152,680.81/415,140.16
  6. Step 6: Final answer
    x = 550,491.56

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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.