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Finding the Fourth Proportional to 454,197.60, 681,401.95 and 154,680.78

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Solution

The fourth proportional to 454,197.60, 681,401.95 and 154,680.78 is: 232,057.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,197.60 : 681,401.95 = 154,680.78 : x
  2. Step 2: Convert to fraction form
    454,197.60/681,401.95 = 154,680.78/x
  3. Step 3: Cross multiply
    454,197.60x = 681,401.95 × 154,680.78
  4. Step 4: Simplify right side
    454,197.60x = 105,399,785,119.52
  5. Step 5: Solve for x
    x = 105,399,785,119.52/454,197.60
  6. Step 6: Final answer
    x = 232,057.12

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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.