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Finding the Fourth Proportional to 284,079.29, 426,177.23 and 84,381.89

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Solution

The fourth proportional to 284,079.29, 426,177.23 and 84,381.89 is: 126,590.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,079.29 : 426,177.23 = 84,381.89 : x
  2. Step 2: Convert to fraction form
    284,079.29/426,177.23 = 84,381.89/x
  3. Step 3: Cross multiply
    284,079.29x = 426,177.23 × 84,381.89
  4. Step 4: Simplify right side
    284,079.29x = 35,961,637,589.57
  5. Step 5: Solve for x
    x = 35,961,637,589.57/284,079.29
  6. Step 6: Final answer
    x = 126,590.14

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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.