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Finding the Fourth Proportional to 432,712.49, 649,130.16 and 133,217.96

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Solution

The fourth proportional to 432,712.49, 649,130.16 and 133,217.96 is: 199,845.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,712.49 : 649,130.16 = 133,217.96 : x
  2. Step 2: Convert to fraction form
    432,712.49/649,130.16 = 133,217.96/x
  3. Step 3: Cross multiply
    432,712.49x = 649,130.16 × 133,217.96
  4. Step 4: Simplify right side
    432,712.49x = 86,475,795,689.67
  5. Step 5: Solve for x
    x = 86,475,795,689.67/432,712.49
  6. Step 6: Final answer
    x = 199,845.85

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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.