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Finding the Fourth Proportional to 498,410.70, 747,543.15 and 143,387.70

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Solution

The fourth proportional to 498,410.70, 747,543.15 and 143,387.70 is: 215,060.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,410.70 : 747,543.15 = 143,387.70 : x
  2. Step 2: Convert to fraction form
    498,410.70/747,543.15 = 143,387.70/x
  3. Step 3: Cross multiply
    498,410.70x = 747,543.15 × 143,387.70
  4. Step 4: Simplify right side
    498,410.70x = 107,188,492,929.26
  5. Step 5: Solve for x
    x = 107,188,492,929.26/498,410.70
  6. Step 6: Final answer
    x = 215,060.58

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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.