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Finding the Fourth Proportional to 326,422.82, 489,577.80 and 86,538.32

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Solution

The fourth proportional to 326,422.82, 489,577.80 and 86,538.32 is: 129,792.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,422.82 : 489,577.80 = 86,538.32 : x
  2. Step 2: Convert to fraction form
    326,422.82/489,577.80 = 86,538.32/x
  3. Step 3: Cross multiply
    326,422.82x = 489,577.80 × 86,538.32
  4. Step 4: Simplify right side
    326,422.82x = 42,367,240,321.30
  5. Step 5: Solve for x
    x = 42,367,240,321.30/326,422.82
  6. Step 6: Final answer
    x = 129,792.52

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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.