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Finding the Fourth Proportional to 278,625.86, 417,829.76 and 98,641.78

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Solution

The fourth proportional to 278,625.86, 417,829.76 and 98,641.78 is: 147,924.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,625.86 : 417,829.76 = 98,641.78 : x
  2. Step 2: Convert to fraction form
    278,625.86/417,829.76 = 98,641.78/x
  3. Step 3: Cross multiply
    278,625.86x = 417,829.76 × 98,641.78
  4. Step 4: Simplify right side
    278,625.86x = 41,215,471,263.37
  5. Step 5: Solve for x
    x = 41,215,471,263.37/278,625.86
  6. Step 6: Final answer
    x = 147,924.07

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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.