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Finding the Fourth Proportional to 283,168.38, 390,767.31 and 155,842.86

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Solution

The fourth proportional to 283,168.38, 390,767.31 and 155,842.86 is: 215,060.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,168.38 : 390,767.31 = 155,842.86 : x
  2. Step 2: Convert to fraction form
    283,168.38/390,767.31 = 155,842.86/x
  3. Step 3: Cross multiply
    283,168.38x = 390,767.31 × 155,842.86
  4. Step 4: Simplify right side
    283,168.38x = 60,898,295,184.91
  5. Step 5: Solve for x
    x = 60,898,295,184.91/283,168.38
  6. Step 6: Final answer
    x = 215,060.37

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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.