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Finding the Fourth Proportional to 278,681.77, 384,567.97 and 157,823.92

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Solution

The fourth proportional to 278,681.77, 384,567.97 and 157,823.92 is: 217,789.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,681.77 : 384,567.97 = 157,823.92 : x
  2. Step 2: Convert to fraction form
    278,681.77/384,567.97 = 157,823.92/x
  3. Step 3: Cross multiply
    278,681.77x = 384,567.97 × 157,823.92
  4. Step 4: Simplify right side
    278,681.77x = 60,694,023,175.86
  5. Step 5: Solve for x
    x = 60,694,023,175.86/278,681.77
  6. Step 6: Final answer
    x = 217,789.72

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1.5x scale

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.