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Finding the Fourth Proportional to 286,872.28, 395,881.55 and 157,807.97

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Solution

The fourth proportional to 286,872.28, 395,881.55 and 157,807.97 is: 217,773.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,872.28 : 395,881.55 = 157,807.97 : x
  2. Step 2: Convert to fraction form
    286,872.28/395,881.55 = 157,807.97/x
  3. Step 3: Cross multiply
    286,872.28x = 395,881.55 × 157,807.97
  4. Step 4: Simplify right side
    286,872.28x = 62,473,263,765.95
  5. Step 5: Solve for x
    x = 62,473,263,765.95/286,872.28
  6. Step 6: Final answer
    x = 217,773.79

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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.