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Finding the Fourth Proportional to 305,734.38, 458,251.65 and 118,585.50

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Solution

The fourth proportional to 305,734.38, 458,251.65 and 118,585.50 is: 177,742.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,734.38 : 458,251.65 = 118,585.50 : x
  2. Step 2: Convert to fraction form
    305,734.38/458,251.65 = 118,585.50/x
  3. Step 3: Cross multiply
    305,734.38x = 458,251.65 × 118,585.50
  4. Step 4: Simplify right side
    305,734.38x = 54,342,001,041.08
  5. Step 5: Solve for x
    x = 54,342,001,041.08/305,734.38
  6. Step 6: Final answer
    x = 177,742.53

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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.