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Finding the Fourth Proportional to 278,644.62, 384,292.71 and 187,986.18

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Solution

The fourth proportional to 278,644.62, 384,292.71 and 187,986.18 is: 259,261.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,644.62 : 384,292.71 = 187,986.18 : x
  2. Step 2: Convert to fraction form
    278,644.62/384,292.71 = 187,986.18/x
  3. Step 3: Cross multiply
    278,644.62x = 384,292.71 × 187,986.18
  4. Step 4: Simplify right side
    278,644.62x = 72,241,718,554.75
  5. Step 5: Solve for x
    x = 72,241,718,554.75/278,644.62
  6. Step 6: Final answer
    x = 259,261.13

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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.