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Finding the Fourth Proportional to 411,691.16, 617,452.68 and 145,460.36

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Solution

The fourth proportional to 411,691.16, 617,452.68 and 145,460.36 is: 218,160.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,691.16 : 617,452.68 = 145,460.36 : x
  2. Step 2: Convert to fraction form
    411,691.16/617,452.68 = 145,460.36/x
  3. Step 3: Cross multiply
    411,691.16x = 617,452.68 × 145,460.36
  4. Step 4: Simplify right side
    411,691.16x = 89,814,889,115.76
  5. Step 5: Solve for x
    x = 89,814,889,115.76/411,691.16
  6. Step 6: Final answer
    x = 218,160.84

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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.