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Finding the Fourth Proportional to 284,452.56, 426,678.71 and 84,767.85

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Solution

The fourth proportional to 284,452.56, 426,678.71 and 84,767.85 is: 127,151.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,452.56 : 426,678.71 = 84,767.85 : x
  2. Step 2: Convert to fraction form
    284,452.56/426,678.71 = 84,767.85/x
  3. Step 3: Cross multiply
    284,452.56x = 426,678.71 × 84,767.85
  4. Step 4: Simplify right side
    284,452.56x = 36,168,636,463.63
  5. Step 5: Solve for x
    x = 36,168,636,463.63/284,452.56
  6. Step 6: Final answer
    x = 127,151.73

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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.