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Finding the Fourth Proportional to 278,953.93, 418,609.10 and 101,444.05

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Solution

The fourth proportional to 278,953.93, 418,609.10 and 101,444.05 is: 152,230.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,953.93 : 418,609.10 = 101,444.05 : x
  2. Step 2: Convert to fraction form
    278,953.93/418,609.10 = 101,444.05/x
  3. Step 3: Cross multiply
    278,953.93x = 418,609.10 × 101,444.05
  4. Step 4: Simplify right side
    278,953.93x = 42,465,402,470.86
  5. Step 5: Solve for x
    x = 42,465,402,470.86/278,953.93
  6. Step 6: Final answer
    x = 152,230.88

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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.