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Finding the Fourth Proportional to 498,004, 747,012.48 and 165,580

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Solution

The fourth proportional to 498,004, 747,012.48 and 165,580 is: 248,372.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,004 : 747,012.48 = 165,580 : x
  2. Step 2: Convert to fraction form
    498,004/747,012.48 = 165,580/x
  3. Step 3: Cross multiply
    498,004x = 747,012.48 × 165,580
  4. Step 4: Simplify right side
    498,004x = 123,690,326,438.40
  5. Step 5: Solve for x
    x = 123,690,326,438.40/498,004
  6. Step 6: Final answer
    x = 248,372.15

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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.