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Finding the Fourth Proportional to 498,127.40, 747,409.80 and 231,750.80

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Solution

The fourth proportional to 498,127.40, 747,409.80 and 231,750.80 is: 347,727.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,127.40 : 747,409.80 = 231,750.80 : x
  2. Step 2: Convert to fraction form
    498,127.40/747,409.80 = 231,750.80/x
  3. Step 3: Cross multiply
    498,127.40x = 747,409.80 × 231,750.80
  4. Step 4: Simplify right side
    498,127.40x = 173,212,819,077.84
  5. Step 5: Solve for x
    x = 173,212,819,077.84/498,127.40
  6. Step 6: Final answer
    x = 347,727.95

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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.