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Finding the Fourth Proportional to 283,670.05, 391,467.05 and 156,345.97

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Solution

The fourth proportional to 283,670.05, 391,467.05 and 156,345.97 is: 215,758.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,670.05 : 391,467.05 = 156,345.97 : x
  2. Step 2: Convert to fraction form
    283,670.05/391,467.05 = 156,345.97/x
  3. Step 3: Cross multiply
    283,670.05x = 391,467.05 × 156,345.97
  4. Step 4: Simplify right side
    283,670.05x = 61,204,294,873.56
  5. Step 5: Solve for x
    x = 61,204,294,873.56/283,670.05
  6. Step 6: Final answer
    x = 215,758.75

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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.