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Finding the Fourth Proportional to 319,876.78, 479,530.05 and 162,023.98

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Solution

The fourth proportional to 319,876.78, 479,530.05 and 162,023.98 is: 242,891.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,876.78 : 479,530.05 = 162,023.98 : x
  2. Step 2: Convert to fraction form
    319,876.78/479,530.05 = 162,023.98/x
  3. Step 3: Cross multiply
    319,876.78x = 479,530.05 × 162,023.98
  4. Step 4: Simplify right side
    319,876.78x = 77,695,367,230.60
  5. Step 5: Solve for x
    x = 77,695,367,230.60/319,876.78
  6. Step 6: Final answer
    x = 242,891.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.