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Finding the Fourth Proportional to 278,807.52, 417,957.84 and 101,238.24

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Solution

The fourth proportional to 278,807.52, 417,957.84 and 101,238.24 is: 151,765.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,807.52 : 417,957.84 = 101,238.24 : x
  2. Step 2: Convert to fraction form
    278,807.52/417,957.84 = 101,238.24/x
  3. Step 3: Cross multiply
    278,807.52x = 417,957.84 × 101,238.24
  4. Step 4: Simplify right side
    278,807.52x = 42,313,316,115.80
  5. Step 5: Solve for x
    x = 42,313,316,115.80/278,807.52
  6. Step 6: Final answer
    x = 151,765.33

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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.