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Finding the Fourth Proportional to 498,013.86, 747,020.10 and 198,704.64

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Solution

The fourth proportional to 498,013.86, 747,020.10 and 198,704.64 is: 298,056.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,013.86 : 747,020.10 = 198,704.64 : x
  2. Step 2: Convert to fraction form
    498,013.86/747,020.10 = 198,704.64/x
  3. Step 3: Cross multiply
    498,013.86x = 747,020.10 × 198,704.64
  4. Step 4: Simplify right side
    498,013.86x = 148,436,360,043.26
  5. Step 5: Solve for x
    x = 148,436,360,043.26/498,013.86
  6. Step 6: Final answer
    x = 298,056.68

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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.