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Finding the Fourth Proportional to 498,301.80, 746,631.90 and 287,572.20

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Solution

The fourth proportional to 498,301.80, 746,631.90 and 287,572.20 is: 430,884.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,301.80 : 746,631.90 = 287,572.20 : x
  2. Step 2: Convert to fraction form
    498,301.80/746,631.90 = 287,572.20/x
  3. Step 3: Cross multiply
    498,301.80x = 746,631.90 × 287,572.20
  4. Step 4: Simplify right side
    498,301.80x = 214,710,578,073.18
  5. Step 5: Solve for x
    x = 214,710,578,073.18/498,301.80
  6. Step 6: Final answer
    x = 430,884.61

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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.