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Finding the Fourth Proportional to 728,771.64, 1,005,706.64 and 406,502.61

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Solution

The fourth proportional to 728,771.64, 1,005,706.64 and 406,502.61 is: 560,974.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,771.64 : 1,005,706.64 = 406,502.61 : x
  2. Step 2: Convert to fraction form
    728,771.64/1,005,706.64 = 406,502.61/x
  3. Step 3: Cross multiply
    728,771.64x = 1,005,706.64 × 406,502.61
  4. Step 4: Simplify right side
    728,771.64x = 408,822,375,070.59
  5. Step 5: Solve for x
    x = 408,822,375,070.59/728,771.64
  6. Step 6: Final answer
    x = 560,974.59

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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.