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Finding the Fourth Proportional to 322,402.60, 482,947.80 and 164,719.90

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Solution

The fourth proportional to 322,402.60, 482,947.80 and 164,719.90 is: 246,744.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,402.60 : 482,947.80 = 164,719.90 : x
  2. Step 2: Convert to fraction form
    322,402.60/482,947.80 = 164,719.90/x
  3. Step 3: Cross multiply
    322,402.60x = 482,947.80 × 164,719.90
  4. Step 4: Simplify right side
    322,402.60x = 79,551,113,321.22
  5. Step 5: Solve for x
    x = 79,551,113,321.22/322,402.60
  6. Step 6: Final answer
    x = 246,744.64

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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.