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Finding the Fourth Proportional to 454,196.60, 681,400.45 and 154,679.78

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Solution

The fourth proportional to 454,196.60, 681,400.45 and 154,679.78 is: 232,055.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,196.60 : 681,400.45 = 154,679.78 : x
  2. Step 2: Convert to fraction form
    454,196.60/681,400.45 = 154,679.78/x
  3. Step 3: Cross multiply
    454,196.60x = 681,400.45 × 154,679.78
  4. Step 4: Simplify right side
    454,196.60x = 105,398,873,014.70
  5. Step 5: Solve for x
    x = 105,398,873,014.70/454,196.60
  6. Step 6: Final answer
    x = 232,055.62

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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.