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Finding the Fourth Proportional to 406,861.62, 561,308.85 and 253,810.50

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Solution

The fourth proportional to 406,861.62, 561,308.85 and 253,810.50 is: 350,158.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,861.62 : 561,308.85 = 253,810.50 : x
  2. Step 2: Convert to fraction form
    406,861.62/561,308.85 = 253,810.50/x
  3. Step 3: Cross multiply
    406,861.62x = 561,308.85 × 253,810.50
  4. Step 4: Simplify right side
    406,861.62x = 142,466,079,872.93
  5. Step 5: Solve for x
    x = 142,466,079,872.93/406,861.62
  6. Step 6: Final answer
    x = 350,158.56

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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.