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Finding the Fourth Proportional to 432,931.60, 649,499.80 and 137,443.60

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Solution

The fourth proportional to 432,931.60, 649,499.80 and 137,443.60 is: 206,197.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,931.60 : 649,499.80 = 137,443.60 : x
  2. Step 2: Convert to fraction form
    432,931.60/649,499.80 = 137,443.60/x
  3. Step 3: Cross multiply
    432,931.60x = 649,499.80 × 137,443.60
  4. Step 4: Simplify right side
    432,931.60x = 89,269,590,711.28
  5. Step 5: Solve for x
    x = 89,269,590,711.28/432,931.60
  6. Step 6: Final answer
    x = 206,197.91

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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.