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Finding the Fourth Proportional to 406,874.88, 561,487.95 and 225,588.78

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Solution

The fourth proportional to 406,874.88, 561,487.95 and 225,588.78 is: 311,312.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,874.88 : 561,487.95 = 225,588.78 : x
  2. Step 2: Convert to fraction form
    406,874.88/561,487.95 = 225,588.78/x
  3. Step 3: Cross multiply
    406,874.88x = 561,487.95 × 225,588.78
  4. Step 4: Simplify right side
    406,874.88x = 126,665,381,625.20
  5. Step 5: Solve for x
    x = 126,665,381,625.20/406,874.88
  6. Step 6: Final answer
    x = 311,312.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.