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Finding the Fourth Proportional to 278,909.00, 384,894.45 and 151,584.59

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Solution

The fourth proportional to 278,909.00, 384,894.45 and 151,584.59 is: 209,186.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,909.00 : 384,894.45 = 151,584.59 : x
  2. Step 2: Convert to fraction form
    278,909.00/384,894.45 = 151,584.59/x
  3. Step 3: Cross multiply
    278,909.00x = 384,894.45 × 151,584.59
  4. Step 4: Simplify right side
    278,909.00x = 58,344,067,483.85
  5. Step 5: Solve for x
    x = 58,344,067,483.85/278,909.00
  6. Step 6: Final answer
    x = 209,186.75

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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.