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Finding the Fourth Proportional to 432,862.90, 649,294.35 and 243,906.10

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Solution

The fourth proportional to 432,862.90, 649,294.35 and 243,906.10 is: 365,859.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,862.90 : 649,294.35 = 243,906.10 : x
  2. Step 2: Convert to fraction form
    432,862.90/649,294.35 = 243,906.10/x
  3. Step 3: Cross multiply
    432,862.90x = 649,294.35 × 243,906.10
  4. Step 4: Simplify right side
    432,862.90x = 158,366,852,660.54
  5. Step 5: Solve for x
    x = 158,366,852,660.54/432,862.90
  6. Step 6: Final answer
    x = 365,859.15

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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.