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Finding the Fourth Proportional to 432,728.74, 649,154.54 and 133,234.21

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Solution

The fourth proportional to 432,728.74, 649,154.54 and 133,234.21 is: 199,870.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,728.74 : 649,154.54 = 133,234.21 : x
  2. Step 2: Convert to fraction form
    432,728.74/649,154.54 = 133,234.21/x
  3. Step 3: Cross multiply
    432,728.74x = 649,154.54 × 133,234.21
  4. Step 4: Simplify right side
    432,728.74x = 86,489,592,304.81
  5. Step 5: Solve for x
    x = 86,489,592,304.81/432,728.74
  6. Step 6: Final answer
    x = 199,870.23

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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.