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Finding the Fourth Proportional to 408,657,956.70, 564,269,306.04 and 329,020,045.50

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Solution

The fourth proportional to 408,657,956.70, 564,269,306.04 and 329,020,045.50 is: 454,306,369.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,657,956.70 : 564,269,306.04 = 329,020,045.50 : x
  2. Step 2: Convert to fraction form
    408,657,956.70/564,269,306.04 = 329,020,045.50/x
  3. Step 3: Cross multiply
    408,657,956.70x = 564,269,306.04 × 329,020,045.50
  4. Step 4: Simplify right side
    408,657,956.70x = 185,655,912,747,534,208
  5. Step 5: Solve for x
    x = 185,655,912,747,534,208/408,657,956.70
  6. Step 6: Final answer
    x = 454,306,369.68

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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.