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Finding the Fourth Proportional to 286,892.48, 395,906.11 and 157,823.42

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Solution

The fourth proportional to 286,892.48, 395,906.11 and 157,823.42 is: 217,793.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,892.48 : 395,906.11 = 157,823.42 : x
  2. Step 2: Convert to fraction form
    286,892.48/395,906.11 = 157,823.42/x
  3. Step 3: Cross multiply
    286,892.48x = 395,906.11 × 157,823.42
  4. Step 4: Simplify right side
    286,892.48x = 62,483,253,905.01
  5. Step 5: Solve for x
    x = 62,483,253,905.01/286,892.48
  6. Step 6: Final answer
    x = 217,793.28

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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.