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Finding the Fourth Proportional to 432,836.60, 649,254.90 and 137,348.60

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Solution

The fourth proportional to 432,836.60, 649,254.90 and 137,348.60 is: 206,022.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,836.60 : 649,254.90 = 137,348.60 : x
  2. Step 2: Convert to fraction form
    432,836.60/649,254.90 = 137,348.60/x
  3. Step 3: Cross multiply
    432,836.60x = 649,254.90 × 137,348.60
  4. Step 4: Simplify right side
    432,836.60x = 89,174,251,558.14
  5. Step 5: Solve for x
    x = 89,174,251,558.14/432,836.60
  6. Step 6: Final answer
    x = 206,022.90

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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.