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Finding the Fourth Proportional to 265,728.28, 398,593.86 and 78,741.40

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Solution

The fourth proportional to 265,728.28, 398,593.86 and 78,741.40 is: 118,112.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,728.28 : 398,593.86 = 78,741.40 : x
  2. Step 2: Convert to fraction form
    265,728.28/398,593.86 = 78,741.40/x
  3. Step 3: Cross multiply
    265,728.28x = 398,593.86 × 78,741.40
  4. Step 4: Simplify right side
    265,728.28x = 31,385,838,567.80
  5. Step 5: Solve for x
    x = 31,385,838,567.80/265,728.28
  6. Step 6: Final answer
    x = 118,112.53

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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.