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Finding the Fourth Proportional to 315,113.47, 434,893.35 and 179,167.78

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Solution

The fourth proportional to 315,113.47, 434,893.35 and 179,167.78 is: 247,272.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,113.47 : 434,893.35 = 179,167.78 : x
  2. Step 2: Convert to fraction form
    315,113.47/434,893.35 = 179,167.78/x
  3. Step 3: Cross multiply
    315,113.47x = 434,893.35 × 179,167.78
  4. Step 4: Simplify right side
    315,113.47x = 77,918,875,160.42
  5. Step 5: Solve for x
    x = 77,918,875,160.42/315,113.47
  6. Step 6: Final answer
    x = 247,272.44

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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.