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Finding the Fourth Proportional to 278,978.60, 385,061.08 and 171,644.75

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Solution

The fourth proportional to 278,978.60, 385,061.08 and 171,644.75 is: 236,913.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,978.60 : 385,061.08 = 171,644.75 : x
  2. Step 2: Convert to fraction form
    278,978.60/385,061.08 = 171,644.75/x
  3. Step 3: Cross multiply
    278,978.60x = 385,061.08 × 171,644.75
  4. Step 4: Simplify right side
    278,978.60x = 66,093,710,456.91
  5. Step 5: Solve for x
    x = 66,093,710,456.91/278,978.60
  6. Step 6: Final answer
    x = 236,913.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.