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Finding the Fourth Proportional to 278,099.28, 417,272.94 and 128,259

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Solution

The fourth proportional to 278,099.28, 417,272.94 and 128,259 is: 192,445.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,099.28 : 417,272.94 = 128,259 : x
  2. Step 2: Convert to fraction form
    278,099.28/417,272.94 = 128,259/x
  3. Step 3: Cross multiply
    278,099.28x = 417,272.94 × 128,259
  4. Step 4: Simplify right side
    278,099.28x = 53,519,010,011.46
  5. Step 5: Solve for x
    x = 53,519,010,011.46/278,099.28
  6. Step 6: Final answer
    x = 192,445.70

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1.5x scale

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.