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Finding the Fourth Proportional to 432,985.60, 649,580.80 and 137,497.60

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Solution

The fourth proportional to 432,985.60, 649,580.80 and 137,497.60 is: 206,278.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,985.60 : 649,580.80 = 137,497.60 : x
  2. Step 2: Convert to fraction form
    432,985.60/649,580.80 = 137,497.60/x
  3. Step 3: Cross multiply
    432,985.60x = 649,580.80 × 137,497.60
  4. Step 4: Simplify right side
    432,985.60x = 89,315,801,006.08
  5. Step 5: Solve for x
    x = 89,315,801,006.08/432,985.60
  6. Step 6: Final answer
    x = 206,278.92

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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.