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Finding the Fourth Proportional to 305,947.12, 458,763.12 and 137,322.88

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Solution

The fourth proportional to 305,947.12, 458,763.12 and 137,322.88 is: 205,913.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,947.12 : 458,763.12 = 137,322.88 : x
  2. Step 2: Convert to fraction form
    305,947.12/458,763.12 = 137,322.88/x
  3. Step 3: Cross multiply
    305,947.12x = 458,763.12 × 137,322.88
  4. Step 4: Simplify right side
    305,947.12x = 62,998,672,876.19
  5. Step 5: Solve for x
    x = 62,998,672,876.19/305,947.12
  6. Step 6: Final answer
    x = 205,913.60

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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.