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Finding the Fourth Proportional to 278,415.86, 417,669.03 and 86,245.41

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Solution

The fourth proportional to 278,415.86, 417,669.03 and 86,245.41 is: 129,382.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,415.86 : 417,669.03 = 86,245.41 : x
  2. Step 2: Convert to fraction form
    278,415.86/417,669.03 = 86,245.41/x
  3. Step 3: Cross multiply
    278,415.86x = 417,669.03 × 86,245.41
  4. Step 4: Simplify right side
    278,415.86x = 36,022,037,565.21
  5. Step 5: Solve for x
    x = 36,022,037,565.21/278,415.86
  6. Step 6: Final answer
    x = 129,382.13

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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.