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Finding the Fourth Proportional to 454,074.80, 681,112.20 and 154,455.80

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Solution

The fourth proportional to 454,074.80, 681,112.20 and 154,455.80 is: 231,683.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,074.80 : 681,112.20 = 154,455.80 : x
  2. Step 2: Convert to fraction form
    454,074.80/681,112.20 = 154,455.80/x
  3. Step 3: Cross multiply
    454,074.80x = 681,112.20 × 154,455.80
  4. Step 4: Simplify right side
    454,074.80x = 105,201,729,740.76
  5. Step 5: Solve for x
    x = 105,201,729,740.76/454,074.80
  6. Step 6: Final answer
    x = 231,683.70

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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.