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Finding the Fourth Proportional to 284,331.60, 426,292.60 and 159,710.80

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Solution

The fourth proportional to 284,331.60, 426,292.60 and 159,710.80 is: 239,451.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,331.60 : 426,292.60 = 159,710.80 : x
  2. Step 2: Convert to fraction form
    284,331.60/426,292.60 = 159,710.80/x
  3. Step 3: Cross multiply
    284,331.60x = 426,292.60 × 159,710.80
  4. Step 4: Simplify right side
    284,331.60x = 68,083,532,180.08
  5. Step 5: Solve for x
    x = 68,083,532,180.08/284,331.60
  6. Step 6: Final answer
    x = 239,451.16

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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.