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Finding the Fourth Proportional to 278,462.97, 417,627.54 and 128,559.24

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Solution

The fourth proportional to 278,462.97, 417,627.54 and 128,559.24 is: 192,807.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,462.97 : 417,627.54 = 128,559.24 : x
  2. Step 2: Convert to fraction form
    278,462.97/417,627.54 = 128,559.24/x
  3. Step 3: Cross multiply
    278,462.97x = 417,627.54 × 128,559.24
  4. Step 4: Simplify right side
    278,462.97x = 53,689,879,145.47
  5. Step 5: Solve for x
    x = 53,689,879,145.47/278,462.97
  6. Step 6: Final answer
    x = 192,807.97

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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.