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Finding the Fourth Proportional to 284,287.56, 426,451.86 and 81,875.40

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Solution

The fourth proportional to 284,287.56, 426,451.86 and 81,875.40 is: 122,819.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,287.56 : 426,451.86 = 81,875.40 : x
  2. Step 2: Convert to fraction form
    284,287.56/426,451.86 = 81,875.40/x
  3. Step 3: Cross multiply
    284,287.56x = 426,451.86 × 81,875.40
  4. Step 4: Simplify right side
    284,287.56x = 34,915,916,618.24
  5. Step 5: Solve for x
    x = 34,915,916,618.24/284,287.56
  6. Step 6: Final answer
    x = 122,819.01

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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.