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Finding the Fourth Proportional to 498,362.34, 747,517.30 and 143,362.42

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Solution

The fourth proportional to 498,362.34, 747,517.30 and 143,362.42 is: 215,036.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,362.34 : 747,517.30 = 143,362.42 : x
  2. Step 2: Convert to fraction form
    498,362.34/747,517.30 = 143,362.42/x
  3. Step 3: Cross multiply
    498,362.34x = 747,517.30 × 143,362.42
  4. Step 4: Simplify right side
    498,362.34x = 107,165,889,119.87
  5. Step 5: Solve for x
    x = 107,165,889,119.87/498,362.34
  6. Step 6: Final answer
    x = 215,036.09

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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.