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Finding the Fourth Proportional to 394,055.13, 591,165.72 and 127,794.88

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Solution

The fourth proportional to 394,055.13, 591,165.72 and 127,794.88 is: 191,719.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,055.13 : 591,165.72 = 127,794.88 : x
  2. Step 2: Convert to fraction form
    394,055.13/591,165.72 = 127,794.88/x
  3. Step 3: Cross multiply
    394,055.13x = 591,165.72 × 127,794.88
  4. Step 4: Simplify right side
    394,055.13x = 75,547,952,247.51
  5. Step 5: Solve for x
    x = 75,547,952,247.51/394,055.13
  6. Step 6: Final answer
    x = 191,719.25

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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.