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Finding the Fourth Proportional to 284,412.89, 426,689.52 and 84,732.50

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Solution

The fourth proportional to 284,412.89, 426,689.52 and 84,732.50 is: 127,119.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,412.89 : 426,689.52 = 84,732.50 : x
  2. Step 2: Convert to fraction form
    284,412.89/426,689.52 = 84,732.50/x
  3. Step 3: Cross multiply
    284,412.89x = 426,689.52 × 84,732.50
  4. Step 4: Simplify right side
    284,412.89x = 36,154,469,753.40
  5. Step 5: Solve for x
    x = 36,154,469,753.40/284,412.89
  6. Step 6: Final answer
    x = 127,119.66

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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.