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Finding the Fourth Proportional to 312,897.18, 431,793.94 and 169,654.15

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Solution

The fourth proportional to 312,897.18, 431,793.94 and 169,654.15 is: 234,120.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,897.18 : 431,793.94 = 169,654.15 : x
  2. Step 2: Convert to fraction form
    312,897.18/431,793.94 = 169,654.15/x
  3. Step 3: Cross multiply
    312,897.18x = 431,793.94 × 169,654.15
  4. Step 4: Simplify right side
    312,897.18x = 73,255,630,858.61
  5. Step 5: Solve for x
    x = 73,255,630,858.61/312,897.18
  6. Step 6: Final answer
    x = 234,120.46

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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.