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Finding the Fourth Proportional to 298,759.76, 447,813.60 and 147,061.24

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Solution

The fourth proportional to 298,759.76, 447,813.60 and 147,061.24 is: 220,431.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,759.76 : 447,813.60 = 147,061.24 : x
  2. Step 2: Convert to fraction form
    298,759.76/447,813.60 = 147,061.24/x
  3. Step 3: Cross multiply
    298,759.76x = 447,813.60 × 147,061.24
  4. Step 4: Simplify right side
    298,759.76x = 65,856,023,304.86
  5. Step 5: Solve for x
    x = 65,856,023,304.86/298,759.76
  6. Step 6: Final answer
    x = 220,431.37

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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.