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Finding the Fourth Proportional to 614,207.16, 847,631.88 and 342,275.16

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Solution

The fourth proportional to 614,207.16, 847,631.88 and 342,275.16 is: 472,354.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,207.16 : 847,631.88 = 342,275.16 : x
  2. Step 2: Convert to fraction form
    614,207.16/847,631.88 = 342,275.16/x
  3. Step 3: Cross multiply
    614,207.16x = 847,631.88 × 342,275.16
  4. Step 4: Simplify right side
    614,207.16x = 290,123,337,348.10
  5. Step 5: Solve for x
    x = 290,123,337,348.10/614,207.16
  6. Step 6: Final answer
    x = 472,354.21

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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.