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Finding the Fourth Proportional to 268,854.89, 403,319.22 and 91,314.23

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Solution

The fourth proportional to 268,854.89, 403,319.22 and 91,314.23 is: 136,983.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,854.89 : 403,319.22 = 91,314.23 : x
  2. Step 2: Convert to fraction form
    268,854.89/403,319.22 = 91,314.23/x
  3. Step 3: Cross multiply
    268,854.89x = 403,319.22 × 91,314.23
  4. Step 4: Simplify right side
    268,854.89x = 36,828,782,001.90
  5. Step 5: Solve for x
    x = 36,828,782,001.90/268,854.89
  6. Step 6: Final answer
    x = 136,983.87

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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.