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Finding the Fourth Proportional to 325,909.80, 489,083.40 and 148,325.40

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Solution

The fourth proportional to 325,909.80, 489,083.40 and 148,325.40 is: 222,587.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,909.80 : 489,083.40 = 148,325.40 : x
  2. Step 2: Convert to fraction form
    325,909.80/489,083.40 = 148,325.40/x
  3. Step 3: Cross multiply
    325,909.80x = 489,083.40 × 148,325.40
  4. Step 4: Simplify right side
    325,909.80x = 72,543,490,938.36
  5. Step 5: Solve for x
    x = 72,543,490,938.36/325,909.80
  6. Step 6: Final answer
    x = 222,587.63

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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.