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Finding the Fourth Proportional to 278,893.61, 384,876.15 and 151,569.20

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Solution

The fourth proportional to 278,893.61, 384,876.15 and 151,569.20 is: 209,167.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,893.61 : 384,876.15 = 151,569.20 : x
  2. Step 2: Convert to fraction form
    278,893.61/384,876.15 = 151,569.20/x
  3. Step 3: Cross multiply
    278,893.61x = 384,876.15 × 151,569.20
  4. Step 4: Simplify right side
    278,893.61x = 58,335,370,154.58
  5. Step 5: Solve for x
    x = 58,335,370,154.58/278,893.61
  6. Step 6: Final answer
    x = 209,167.11

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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.