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Finding the Fourth Proportional to 321,864.40, 482,969.40 and 134,894.80

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Solution

The fourth proportional to 321,864.40, 482,969.40 and 134,894.80 is: 202,414.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,864.40 : 482,969.40 = 134,894.80 : x
  2. Step 2: Convert to fraction form
    321,864.40/482,969.40 = 134,894.80/x
  3. Step 3: Cross multiply
    321,864.40x = 482,969.40 × 134,894.80
  4. Step 4: Simplify right side
    321,864.40x = 65,150,060,619.12
  5. Step 5: Solve for x
    x = 65,150,060,619.12/321,864.40
  6. Step 6: Final answer
    x = 202,414.62

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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.