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Finding the Fourth Proportional to 498,538.80, 747,651.36 and 161,501.28

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Solution

The fourth proportional to 498,538.80, 747,651.36 and 161,501.28 is: 242,201.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,538.80 : 747,651.36 = 161,501.28 : x
  2. Step 2: Convert to fraction form
    498,538.80/747,651.36 = 161,501.28/x
  3. Step 3: Cross multiply
    498,538.80x = 747,651.36 × 161,501.28
  4. Step 4: Simplify right side
    498,538.80x = 120,746,651,633.74
  5. Step 5: Solve for x
    x = 120,746,651,633.74/498,538.80
  6. Step 6: Final answer
    x = 242,201.11

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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.