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Finding the Fourth Proportional to 326,394.32, 489,532.92 and 89,705.84

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Solution

The fourth proportional to 326,394.32, 489,532.92 and 89,705.84 is: 134,542.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,394.32 : 489,532.92 = 89,705.84 : x
  2. Step 2: Convert to fraction form
    326,394.32/489,532.92 = 89,705.84/x
  3. Step 3: Cross multiply
    326,394.32x = 489,532.92 × 89,705.84
  4. Step 4: Simplify right side
    326,394.32x = 43,913,961,796.25
  5. Step 5: Solve for x
    x = 43,913,961,796.25/326,394.32
  6. Step 6: Final answer
    x = 134,542.67

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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.