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Finding the Fourth Proportional to 406,983.60, 610,563.11 and 137,138.78

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Solution

The fourth proportional to 406,983.60, 610,563.11 and 137,138.78 is: 205,737.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,983.60 : 610,563.11 = 137,138.78 : x
  2. Step 2: Convert to fraction form
    406,983.60/610,563.11 = 137,138.78/x
  3. Step 3: Cross multiply
    406,983.60x = 610,563.11 × 137,138.78
  4. Step 4: Simplify right side
    406,983.60x = 83,731,880,859.12
  5. Step 5: Solve for x
    x = 83,731,880,859.12/406,983.60
  6. Step 6: Final answer
    x = 205,737.73

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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.