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Finding the Fourth Proportional to 329,419.20, 494,128.80 and 187,701.60

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Solution

The fourth proportional to 329,419.20, 494,128.80 and 187,701.60 is: 281,552.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,419.20 : 494,128.80 = 187,701.60 : x
  2. Step 2: Convert to fraction form
    329,419.20/494,128.80 = 187,701.60/x
  3. Step 3: Cross multiply
    329,419.20x = 494,128.80 × 187,701.60
  4. Step 4: Simplify right side
    329,419.20x = 92,748,766,366.08
  5. Step 5: Solve for x
    x = 92,748,766,366.08/329,419.20
  6. Step 6: Final answer
    x = 281,552.40

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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.