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Finding the Fourth Proportional to 399,308.62, 598,763.13 and 132,976.30

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Solution

The fourth proportional to 399,308.62, 598,763.13 and 132,976.30 is: 199,397.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,308.62 : 598,763.13 = 132,976.30 : x
  2. Step 2: Convert to fraction form
    399,308.62/598,763.13 = 132,976.30/x
  3. Step 3: Cross multiply
    399,308.62x = 598,763.13 × 132,976.30
  4. Step 4: Simplify right side
    399,308.62x = 79,621,305,603.82
  5. Step 5: Solve for x
    x = 79,621,305,603.82/399,308.62
  6. Step 6: Final answer
    x = 199,397.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.