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Finding the Fourth Proportional to 454,073.70, 681,142.95 and 138,530.10

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Solution

The fourth proportional to 454,073.70, 681,142.95 and 138,530.10 is: 207,805.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,073.70 : 681,142.95 = 138,530.10 : x
  2. Step 2: Convert to fraction form
    454,073.70/681,142.95 = 138,530.10/x
  3. Step 3: Cross multiply
    454,073.70x = 681,142.95 × 138,530.10
  4. Step 4: Simplify right side
    454,073.70x = 94,358,800,977.80
  5. Step 5: Solve for x
    x = 94,358,800,977.80/454,073.70
  6. Step 6: Final answer
    x = 207,805.03

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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.