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Finding the Fourth Proportional to 498,729.60, 747,948.60 and 178,844.40

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Solution

The fourth proportional to 498,729.60, 747,948.60 and 178,844.40 is: 268,214.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,729.60 : 747,948.60 = 178,844.40 : x
  2. Step 2: Convert to fraction form
    498,729.60/747,948.60 = 178,844.40/x
  3. Step 3: Cross multiply
    498,729.60x = 747,948.60 × 178,844.40
  4. Step 4: Simplify right side
    498,729.60x = 133,766,418,597.84
  5. Step 5: Solve for x
    x = 133,766,418,597.84/498,729.60
  6. Step 6: Final answer
    x = 268,214.32

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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.