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Finding the Fourth Proportional to 255,115.58, 382,728.71 and 77,617.97

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Solution

The fourth proportional to 255,115.58, 382,728.71 and 77,617.97 is: 116,443.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,115.58 : 382,728.71 = 77,617.97 : x
  2. Step 2: Convert to fraction form
    255,115.58/382,728.71 = 77,617.97/x
  3. Step 3: Cross multiply
    255,115.58x = 382,728.71 × 77,617.97
  4. Step 4: Simplify right side
    255,115.58x = 29,706,625,246.55
  5. Step 5: Solve for x
    x = 29,706,625,246.55/255,115.58
  6. Step 6: Final answer
    x = 116,443.79

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1.5x scale

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.