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Finding the Fourth Proportional to 323,514.30, 484,906.95 and 155,115.30

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Solution

The fourth proportional to 323,514.30, 484,906.95 and 155,115.30 is: 232,498.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,514.30 : 484,906.95 = 155,115.30 : x
  2. Step 2: Convert to fraction form
    323,514.30/484,906.95 = 155,115.30/x
  3. Step 3: Cross multiply
    323,514.30x = 484,906.95 × 155,115.30
  4. Step 4: Simplify right side
    323,514.30x = 75,216,487,021.34
  5. Step 5: Solve for x
    x = 75,216,487,021.34/323,514.30
  6. Step 6: Final answer
    x = 232,498.18

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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.