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Finding the Fourth Proportional to 432,729.24, 649,155.29 and 133,234.71

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Solution

The fourth proportional to 432,729.24, 649,155.29 and 133,234.71 is: 199,870.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,729.24 : 649,155.29 = 133,234.71 : x
  2. Step 2: Convert to fraction form
    432,729.24/649,155.29 = 133,234.71/x
  3. Step 3: Cross multiply
    432,729.24x = 649,155.29 × 133,234.71
  4. Step 4: Simplify right side
    432,729.24x = 86,490,016,141.94
  5. Step 5: Solve for x
    x = 86,490,016,141.94/432,729.24
  6. Step 6: Final answer
    x = 199,870.98

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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.