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Finding the Fourth Proportional to 498,000, 747,006.48 and 165,576

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Solution

The fourth proportional to 498,000, 747,006.48 and 165,576 is: 248,366.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,000 : 747,006.48 = 165,576 : x
  2. Step 2: Convert to fraction form
    498,000/747,006.48 = 165,576/x
  3. Step 3: Cross multiply
    498,000x = 747,006.48 × 165,576
  4. Step 4: Simplify right side
    498,000x = 123,686,344,932.48
  5. Step 5: Solve for x
    x = 123,686,344,932.48/498,000
  6. Step 6: Final answer
    x = 248,366.15

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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.