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Finding the Fourth Proportional to 427,679.40, 641,672.70 and 412,319.40

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Solution

The fourth proportional to 427,679.40, 641,672.70 and 412,319.40 is: 618,627.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,679.40 : 641,672.70 = 412,319.40 : x
  2. Step 2: Convert to fraction form
    427,679.40/641,672.70 = 412,319.40/x
  3. Step 3: Cross multiply
    427,679.40x = 641,672.70 × 412,319.40
  4. Step 4: Simplify right side
    427,679.40x = 264,574,102,660.38
  5. Step 5: Solve for x
    x = 264,574,102,660.38/427,679.40
  6. Step 6: Final answer
    x = 618,627.18

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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.