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Finding the Fourth Proportional to 278,507.31, 384,349.23 and 157,646.02

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Solution

The fourth proportional to 278,507.31, 384,349.23 and 157,646.02 is: 217,556.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,507.31 : 384,349.23 = 157,646.02 : x
  2. Step 2: Convert to fraction form
    278,507.31/384,349.23 = 157,646.02/x
  3. Step 3: Cross multiply
    278,507.31x = 384,349.23 × 157,646.02
  4. Step 4: Simplify right side
    278,507.31x = 60,591,126,796.95
  5. Step 5: Solve for x
    x = 60,591,126,796.95/278,507.31
  6. Step 6: Final answer
    x = 217,556.68

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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.