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Finding the Fourth Proportional to 731,987.91, 1,010,143.17 and 409,698

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Solution

The fourth proportional to 731,987.91, 1,010,143.17 and 409,698 is: 565,383.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,987.91 : 1,010,143.17 = 409,698 : x
  2. Step 2: Convert to fraction form
    731,987.91/1,010,143.17 = 409,698/x
  3. Step 3: Cross multiply
    731,987.91x = 1,010,143.17 × 409,698
  4. Step 4: Simplify right side
    731,987.91x = 413,853,636,462.66
  5. Step 5: Solve for x
    x = 413,853,636,462.66/731,987.91
  6. Step 6: Final answer
    x = 565,383.16

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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.