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Finding the Fourth Proportional to 301,077.60, 451,616.40 and 123,711.90

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Solution

The fourth proportional to 301,077.60, 451,616.40 and 123,711.90 is: 185,567.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,077.60 : 451,616.40 = 123,711.90 : x
  2. Step 2: Convert to fraction form
    301,077.60/451,616.40 = 123,711.90/x
  3. Step 3: Cross multiply
    301,077.60x = 451,616.40 × 123,711.90
  4. Step 4: Simplify right side
    301,077.60x = 55,870,322,915.16
  5. Step 5: Solve for x
    x = 55,870,322,915.16/301,077.60
  6. Step 6: Final answer
    x = 185,567.85

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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.