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Finding the Fourth Proportional to 288,494.72, 398,114.92 and 157,667.20

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Solution

The fourth proportional to 288,494.72, 398,114.92 and 157,667.20 is: 217,576.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,494.72 : 398,114.92 = 157,667.20 : x
  2. Step 2: Convert to fraction form
    288,494.72/398,114.92 = 157,667.20/x
  3. Step 3: Cross multiply
    288,494.72x = 398,114.92 × 157,667.20
  4. Step 4: Simplify right side
    288,494.72x = 62,769,664,714.62
  5. Step 5: Solve for x
    x = 62,769,664,714.62/288,494.72
  6. Step 6: Final answer
    x = 217,576.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.