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Finding the Fourth Proportional to 498,009.75, 747,021.12 and 165,585.75

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Solution

The fourth proportional to 498,009.75, 747,021.12 and 165,585.75 is: 248,380.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,009.75 : 747,021.12 = 165,585.75 : x
  2. Step 2: Convert to fraction form
    498,009.75/747,021.12 = 165,585.75/x
  3. Step 3: Cross multiply
    498,009.75x = 747,021.12 × 165,585.75
  4. Step 4: Simplify right side
    498,009.75x = 123,696,052,421.04
  5. Step 5: Solve for x
    x = 123,696,052,421.04/498,009.75
  6. Step 6: Final answer
    x = 248,380.78

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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.