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Finding the Fourth Proportional to 498,118.40, 746,659.20 and 273,132.80

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Solution

The fourth proportional to 498,118.40, 746,659.20 and 273,132.80 is: 409,414.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,118.40 : 746,659.20 = 273,132.80 : x
  2. Step 2: Convert to fraction form
    498,118.40/746,659.20 = 273,132.80/x
  3. Step 3: Cross multiply
    498,118.40x = 746,659.20 × 273,132.80
  4. Step 4: Simplify right side
    498,118.40x = 203,937,117,941.76
  5. Step 5: Solve for x
    x = 203,937,117,941.76/498,118.40
  6. Step 6: Final answer
    x = 409,414.95

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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.