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Finding the Fourth Proportional to 564,690.98, 847,047.29 and 138,230.43

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Solution

The fourth proportional to 564,690.98, 847,047.29 and 138,230.43 is: 207,348.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,690.98 : 847,047.29 = 138,230.43 : x
  2. Step 2: Convert to fraction form
    564,690.98/847,047.29 = 138,230.43/x
  3. Step 3: Cross multiply
    564,690.98x = 847,047.29 × 138,230.43
  4. Step 4: Simplify right side
    564,690.98x = 117,087,711,472.61
  5. Step 5: Solve for x
    x = 117,087,711,472.61/564,690.98
  6. Step 6: Final answer
    x = 207,348.30

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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.