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Finding the Fourth Proportional to 278,143.88, 383,902.08 and 163,436

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Solution

The fourth proportional to 278,143.88, 383,902.08 and 163,436 is: 225,579.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,143.88 : 383,902.08 = 163,436 : x
  2. Step 2: Convert to fraction form
    278,143.88/383,902.08 = 163,436/x
  3. Step 3: Cross multiply
    278,143.88x = 383,902.08 × 163,436
  4. Step 4: Simplify right side
    278,143.88x = 62,743,420,346.88
  5. Step 5: Solve for x
    x = 62,743,420,346.88/278,143.88
  6. Step 6: Final answer
    x = 225,579.01

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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.