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Finding the Fourth Proportional to 283,406.48, 391,067.70 and 160,890.74

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Solution

The fourth proportional to 283,406.48, 391,067.70 and 160,890.74 is: 222,010.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,406.48 : 391,067.70 = 160,890.74 : x
  2. Step 2: Convert to fraction form
    283,406.48/391,067.70 = 160,890.74/x
  3. Step 3: Cross multiply
    283,406.48x = 391,067.70 × 160,890.74
  4. Step 4: Simplify right side
    283,406.48x = 62,919,171,643.10
  5. Step 5: Solve for x
    x = 62,919,171,643.10/283,406.48
  6. Step 6: Final answer
    x = 222,010.35

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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.