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Finding the Fourth Proportional to 411,319.79, 616,978.46 and 145,016.09

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Solution

The fourth proportional to 411,319.79, 616,978.46 and 145,016.09 is: 217,523.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,319.79 : 616,978.46 = 145,016.09 : x
  2. Step 2: Convert to fraction form
    411,319.79/616,978.46 = 145,016.09/x
  3. Step 3: Cross multiply
    411,319.79x = 616,978.46 × 145,016.09
  4. Step 4: Simplify right side
    411,319.79x = 89,471,800,073.45
  5. Step 5: Solve for x
    x = 89,471,800,073.45/411,319.79
  6. Step 6: Final answer
    x = 217,523.70

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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.