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Finding the Fourth Proportional to 498,330.40, 747,276.90 and 198,711.40

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Solution

The fourth proportional to 498,330.40, 747,276.90 and 198,711.40 is: 297,979.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,330.40 : 747,276.90 = 198,711.40 : x
  2. Step 2: Convert to fraction form
    498,330.40/747,276.90 = 198,711.40/x
  3. Step 3: Cross multiply
    498,330.40x = 747,276.90 × 198,711.40
  4. Step 4: Simplify right side
    498,330.40x = 148,492,438,986.66
  5. Step 5: Solve for x
    x = 148,492,438,986.66/498,330.40
  6. Step 6: Final answer
    x = 297,979.89

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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.