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Finding the Fourth Proportional to 329,114.80, 492,424.20 and 218,522.80

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Solution

The fourth proportional to 329,114.80, 492,424.20 and 218,522.80 is: 326,955.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,114.80 : 492,424.20 = 218,522.80 : x
  2. Step 2: Convert to fraction form
    329,114.80/492,424.20 = 218,522.80/x
  3. Step 3: Cross multiply
    329,114.80x = 492,424.20 × 218,522.80
  4. Step 4: Simplify right side
    329,114.80x = 107,605,914,971.76
  5. Step 5: Solve for x
    x = 107,605,914,971.76/329,114.80
  6. Step 6: Final answer
    x = 326,955.56

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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.