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Finding the Fourth Proportional to 278,565.88, 417,840.85 and 78,885.80

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Solution

The fourth proportional to 278,565.88, 417,840.85 and 78,885.80 is: 118,326.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,565.88 : 417,840.85 = 78,885.80 : x
  2. Step 2: Convert to fraction form
    278,565.88/417,840.85 = 78,885.80/x
  3. Step 3: Cross multiply
    278,565.88x = 417,840.85 × 78,885.80
  4. Step 4: Simplify right side
    278,565.88x = 32,961,707,438.51
  5. Step 5: Solve for x
    x = 32,961,707,438.51/278,565.88
  6. Step 6: Final answer
    x = 118,326.43

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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.