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Finding the Fourth Proportional to 278,572.88, 384,419.88 and 151,245.68

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Solution

The fourth proportional to 278,572.88, 384,419.88 and 151,245.68 is: 208,713.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,572.88 : 384,419.88 = 151,245.68 : x
  2. Step 2: Convert to fraction form
    278,572.88/384,419.88 = 151,245.68/x
  3. Step 3: Cross multiply
    278,572.88x = 384,419.88 × 151,245.68
  4. Step 4: Simplify right side
    278,572.88x = 58,141,846,156.12
  5. Step 5: Solve for x
    x = 58,141,846,156.12/278,572.88
  6. Step 6: Final answer
    x = 208,713.23

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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.