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Finding the Fourth Proportional to 278,925.88, 418,287.58 and 152,659.40

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Solution

The fourth proportional to 278,925.88, 418,287.58 and 152,659.40 is: 228,933.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,925.88 : 418,287.58 = 152,659.40 : x
  2. Step 2: Convert to fraction form
    278,925.88/418,287.58 = 152,659.40/x
  3. Step 3: Cross multiply
    278,925.88x = 418,287.58 × 152,659.40
  4. Step 4: Simplify right side
    278,925.88x = 63,855,530,990.25
  5. Step 5: Solve for x
    x = 63,855,530,990.25/278,925.88
  6. Step 6: Final answer
    x = 228,933.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.