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Finding the Fourth Proportional to 321,334.40, 482,001.60 and 121,661.30

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Solution

The fourth proportional to 321,334.40, 482,001.60 and 121,661.30 is: 182,491.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,334.40 : 482,001.60 = 121,661.30 : x
  2. Step 2: Convert to fraction form
    321,334.40/482,001.60 = 121,661.30/x
  3. Step 3: Cross multiply
    321,334.40x = 482,001.60 × 121,661.30
  4. Step 4: Simplify right side
    321,334.40x = 58,640,941,258.08
  5. Step 5: Solve for x
    x = 58,640,941,258.08/321,334.40
  6. Step 6: Final answer
    x = 182,491.95

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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.