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Finding the Fourth Proportional to 278,473.44, 417,148.32 and 128,505.37

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Solution

The fourth proportional to 278,473.44, 417,148.32 and 128,505.37 is: 192,498.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,473.44 : 417,148.32 = 128,505.37 : x
  2. Step 2: Convert to fraction form
    278,473.44/417,148.32 = 128,505.37/x
  3. Step 3: Cross multiply
    278,473.44x = 417,148.32 × 128,505.37
  4. Step 4: Simplify right side
    278,473.44x = 53,605,799,206.48
  5. Step 5: Solve for x
    x = 53,605,799,206.48/278,473.44
  6. Step 6: Final answer
    x = 192,498.79

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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.