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Finding the Fourth Proportional to 278,447.76, 384,248.16 and 151,120.80

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Solution

The fourth proportional to 278,447.76, 384,248.16 and 151,120.80 is: 208,541.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,447.76 : 384,248.16 = 151,120.80 : x
  2. Step 2: Convert to fraction form
    278,447.76/384,248.16 = 151,120.80/x
  3. Step 3: Cross multiply
    278,447.76x = 384,248.16 × 151,120.80
  4. Step 4: Simplify right side
    278,447.76x = 58,067,889,337.73
  5. Step 5: Solve for x
    x = 58,067,889,337.73/278,447.76
  6. Step 6: Final answer
    x = 208,541.41

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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.