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Finding the Fourth Proportional to 434,674.80, 650,975.40 and 212,799.60

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Solution

The fourth proportional to 434,674.80, 650,975.40 and 212,799.60 is: 318,691.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,674.80 : 650,975.40 = 212,799.60 : x
  2. Step 2: Convert to fraction form
    434,674.80/650,975.40 = 212,799.60/x
  3. Step 3: Cross multiply
    434,674.80x = 650,975.40 × 212,799.60
  4. Step 4: Simplify right side
    434,674.80x = 138,527,304,729.84
  5. Step 5: Solve for x
    x = 138,527,304,729.84/434,674.80
  6. Step 6: Final answer
    x = 318,691.82

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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.