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Finding the Fourth Proportional to 263,337.28, 395,005.92 and 144,947.68

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Solution

The fourth proportional to 263,337.28, 395,005.92 and 144,947.68 is: 217,421.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,337.28 : 395,005.92 = 144,947.68 : x
  2. Step 2: Convert to fraction form
    263,337.28/395,005.92 = 144,947.68/x
  3. Step 3: Cross multiply
    263,337.28x = 395,005.92 × 144,947.68
  4. Step 4: Simplify right side
    263,337.28x = 57,255,191,690.27
  5. Step 5: Solve for x
    x = 57,255,191,690.27/263,337.28
  6. Step 6: Final answer
    x = 217,421.52

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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.