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Finding the Fourth Proportional to 326,044.78, 489,011.10 and 86,161.30

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Solution

The fourth proportional to 326,044.78, 489,011.10 and 86,161.30 is: 129,227.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,044.78 : 489,011.10 = 86,161.30 : x
  2. Step 2: Convert to fraction form
    326,044.78/489,011.10 = 86,161.30/x
  3. Step 3: Cross multiply
    326,044.78x = 489,011.10 × 86,161.30
  4. Step 4: Simplify right side
    326,044.78x = 42,133,832,090.43
  5. Step 5: Solve for x
    x = 42,133,832,090.43/326,044.78
  6. Step 6: Final answer
    x = 129,227.13

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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.