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Finding the Fourth Proportional to 326,039.78, 489,003.60 and 86,156.30

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Solution

The fourth proportional to 326,039.78, 489,003.60 and 86,156.30 is: 129,219.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,039.78 : 489,003.60 = 86,156.30 : x
  2. Step 2: Convert to fraction form
    326,039.78/489,003.60 = 86,156.30/x
  3. Step 3: Cross multiply
    326,039.78x = 489,003.60 × 86,156.30
  4. Step 4: Simplify right side
    326,039.78x = 42,130,740,862.68
  5. Step 5: Solve for x
    x = 42,130,740,862.68/326,039.78
  6. Step 6: Final answer
    x = 129,219.63

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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.