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Finding the Fourth Proportional to 326,042.78, 489,008.10 and 86,159.30

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Solution

The fourth proportional to 326,042.78, 489,008.10 and 86,159.30 is: 129,224.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,042.78 : 489,008.10 = 86,159.30 : x
  2. Step 2: Convert to fraction form
    326,042.78/489,008.10 = 86,159.30/x
  3. Step 3: Cross multiply
    326,042.78x = 489,008.10 × 86,159.30
  4. Step 4: Simplify right side
    326,042.78x = 42,132,595,590.33
  5. Step 5: Solve for x
    x = 42,132,595,590.33/326,042.78
  6. Step 6: Final answer
    x = 129,224.13

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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.