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Finding the Fourth Proportional to 411,079.40, 616,619.10 and 115,591.40

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Solution

The fourth proportional to 411,079.40, 616,619.10 and 115,591.40 is: 173,387.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,079.40 : 616,619.10 = 115,591.40 : x
  2. Step 2: Convert to fraction form
    411,079.40/616,619.10 = 115,591.40/x
  3. Step 3: Cross multiply
    411,079.40x = 616,619.10 × 115,591.40
  4. Step 4: Simplify right side
    411,079.40x = 71,275,865,035.74
  5. Step 5: Solve for x
    x = 71,275,865,035.74/411,079.40
  6. Step 6: Final answer
    x = 173,387.10

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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.