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Finding the Fourth Proportional to 412,302.42, 618,527.43 and 212,569.16

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Solution

The fourth proportional to 412,302.42, 618,527.43 and 212,569.16 is: 318,891.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,302.42 : 618,527.43 = 212,569.16 : x
  2. Step 2: Convert to fraction form
    412,302.42/618,527.43 = 212,569.16/x
  3. Step 3: Cross multiply
    412,302.42x = 618,527.43 × 212,569.16
  4. Step 4: Simplify right side
    412,302.42x = 131,479,853,139.42
  5. Step 5: Solve for x
    x = 131,479,853,139.42/412,302.42
  6. Step 6: Final answer
    x = 318,891.78

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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.