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Finding the Fourth Proportional to 402,569.80, 603,854.70 and 136,266.10

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Solution

The fourth proportional to 402,569.80, 603,854.70 and 136,266.10 is: 204,399.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,569.80 : 603,854.70 = 136,266.10 : x
  2. Step 2: Convert to fraction form
    402,569.80/603,854.70 = 136,266.10/x
  3. Step 3: Cross multiply
    402,569.80x = 603,854.70 × 136,266.10
  4. Step 4: Simplify right side
    402,569.80x = 82,284,924,935.67
  5. Step 5: Solve for x
    x = 82,284,924,935.67/402,569.80
  6. Step 6: Final answer
    x = 204,399.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.