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Finding the Fourth Proportional to 284,402.60, 426,399.10 and 159,781.80

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Solution

The fourth proportional to 284,402.60, 426,399.10 and 159,781.80 is: 239,557.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,402.60 : 426,399.10 = 159,781.80 : x
  2. Step 2: Convert to fraction form
    284,402.60/426,399.10 = 159,781.80/x
  3. Step 3: Cross multiply
    284,402.60x = 426,399.10 × 159,781.80
  4. Step 4: Simplify right side
    284,402.60x = 68,130,815,716.38
  5. Step 5: Solve for x
    x = 68,130,815,716.38/284,402.60
  6. Step 6: Final answer
    x = 239,557.64

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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.