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Finding the Fourth Proportional to 647,711.40, 970,400.70 and 398,101.80

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Solution

The fourth proportional to 647,711.40, 970,400.70 and 398,101.80 is: 596,435.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,711.40 : 970,400.70 = 398,101.80 : x
  2. Step 2: Convert to fraction form
    647,711.40/970,400.70 = 398,101.80/x
  3. Step 3: Cross multiply
    647,711.40x = 970,400.70 × 398,101.80
  4. Step 4: Simplify right side
    647,711.40x = 386,318,265,391.26
  5. Step 5: Solve for x
    x = 386,318,265,391.26/647,711.40
  6. Step 6: Final answer
    x = 596,435.80

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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.