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Finding the Fourth Proportional to 647,020.80, 970,531.20 and 409,658.40

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Solution

The fourth proportional to 647,020.80, 970,531.20 and 409,658.40 is: 614,487.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,020.80 : 970,531.20 = 409,658.40 : x
  2. Step 2: Convert to fraction form
    647,020.80/970,531.20 = 409,658.40/x
  3. Step 3: Cross multiply
    647,020.80x = 970,531.20 × 409,658.40
  4. Step 4: Simplify right side
    647,020.80x = 397,586,258,542.08
  5. Step 5: Solve for x
    x = 397,586,258,542.08/647,020.80
  6. Step 6: Final answer
    x = 614,487.60

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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.