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Finding the Fourth Proportional to 497,149.80, 745,724.70 and 142,175.40

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Solution

The fourth proportional to 497,149.80, 745,724.70 and 142,175.40 is: 213,263.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,149.80 : 745,724.70 = 142,175.40 : x
  2. Step 2: Convert to fraction form
    497,149.80/745,724.70 = 142,175.40/x
  3. Step 3: Cross multiply
    497,149.80x = 745,724.70 × 142,175.40
  4. Step 4: Simplify right side
    497,149.80x = 106,023,707,512.38
  5. Step 5: Solve for x
    x = 106,023,707,512.38/497,149.80
  6. Step 6: Final answer
    x = 213,263.10

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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.