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Finding the Fourth Proportional to 707,850, 976,833 and 406,141.20

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Solution

The fourth proportional to 707,850, 976,833 and 406,141.20 is: 560,474.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,850 : 976,833 = 406,141.20 : x
  2. Step 2: Convert to fraction form
    707,850/976,833 = 406,141.20/x
  3. Step 3: Cross multiply
    707,850x = 976,833 × 406,141.20
  4. Step 4: Simplify right side
    707,850x = 396,732,126,819.60
  5. Step 5: Solve for x
    x = 396,732,126,819.60/707,850
  6. Step 6: Final answer
    x = 560,474.86

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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.