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Finding the Fourth Proportional to 326,438.64, 489,656.88 and 89,763.12

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Solution

The fourth proportional to 326,438.64, 489,656.88 and 89,763.12 is: 134,644.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,438.64 : 489,656.88 = 89,763.12 : x
  2. Step 2: Convert to fraction form
    326,438.64/489,656.88 = 89,763.12/x
  3. Step 3: Cross multiply
    326,438.64x = 489,656.88 × 89,763.12
  4. Step 4: Simplify right side
    326,438.64x = 43,953,129,278.27
  5. Step 5: Solve for x
    x = 43,953,129,278.27/326,438.64
  6. Step 6: Final answer
    x = 134,644.38

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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.