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Finding the Fourth Proportional to 298,270.80, 447,476.28 and 98,591.20

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Solution

The fourth proportional to 298,270.80, 447,476.28 and 98,591.20 is: 147,909.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,270.80 : 447,476.28 = 98,591.20 : x
  2. Step 2: Convert to fraction form
    298,270.80/447,476.28 = 98,591.20/x
  3. Step 3: Cross multiply
    298,270.80x = 447,476.28 × 98,591.20
  4. Step 4: Simplify right side
    298,270.80x = 44,117,222,667.76
  5. Step 5: Solve for x
    x = 44,117,222,667.76/298,270.80
  6. Step 6: Final answer
    x = 147,909.96

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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.