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Finding the Fourth Proportional to 278,252.88, 417,396.78 and 78,588.90

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Solution

The fourth proportional to 278,252.88, 417,396.78 and 78,588.90 is: 117,888.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,252.88 : 417,396.78 = 78,588.90 : x
  2. Step 2: Convert to fraction form
    278,252.88/417,396.78 = 78,588.90/x
  3. Step 3: Cross multiply
    278,252.88x = 417,396.78 × 78,588.90
  4. Step 4: Simplify right side
    278,252.88x = 32,802,753,803.74
  5. Step 5: Solve for x
    x = 32,802,753,803.74/278,252.88
  6. Step 6: Final answer
    x = 117,888.28

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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.