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Finding the Fourth Proportional to 286,889.67, 395,892.10 and 157,807.31

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Solution

The fourth proportional to 286,889.67, 395,892.10 and 157,807.31 is: 217,765.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,889.67 : 395,892.10 = 157,807.31 : x
  2. Step 2: Convert to fraction form
    286,889.67/395,892.10 = 157,807.31/x
  3. Step 3: Cross multiply
    286,889.67x = 395,892.10 × 157,807.31
  4. Step 4: Simplify right side
    286,889.67x = 62,474,667,351.25
  5. Step 5: Solve for x
    x = 62,474,667,351.25/286,889.67
  6. Step 6: Final answer
    x = 217,765.48

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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.