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Finding the Fourth Proportional to 411,380.30, 617,070.45 and 145,138.70

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Solution

The fourth proportional to 411,380.30, 617,070.45 and 145,138.70 is: 217,708.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,380.30 : 617,070.45 = 145,138.70 : x
  2. Step 2: Convert to fraction form
    411,380.30/617,070.45 = 145,138.70/x
  3. Step 3: Cross multiply
    411,380.30x = 617,070.45 × 145,138.70
  4. Step 4: Simplify right side
    411,380.30x = 89,560,802,921.42
  5. Step 5: Solve for x
    x = 89,560,802,921.42/411,380.30
  6. Step 6: Final answer
    x = 217,708.05

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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.