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Finding the Fourth Proportional to 278,412.28, 384,204.86 and 163,703.88

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Solution

The fourth proportional to 278,412.28, 384,204.86 and 163,703.88 is: 225,908.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,412.28 : 384,204.86 = 163,703.88 : x
  2. Step 2: Convert to fraction form
    278,412.28/384,204.86 = 163,703.88/x
  3. Step 3: Cross multiply
    278,412.28x = 384,204.86 × 163,703.88
  4. Step 4: Simplify right side
    278,412.28x = 62,895,826,296.86
  5. Step 5: Solve for x
    x = 62,895,826,296.86/278,412.28
  6. Step 6: Final answer
    x = 225,908.95

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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.