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Finding the Fourth Proportional to 647,023.20, 970,729.20 and 460,399.20

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Solution

The fourth proportional to 647,023.20, 970,729.20 and 460,399.20 is: 690,737.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,023.20 : 970,729.20 = 460,399.20 : x
  2. Step 2: Convert to fraction form
    647,023.20/970,729.20 = 460,399.20/x
  3. Step 3: Cross multiply
    647,023.20x = 970,729.20 × 460,399.20
  4. Step 4: Simplify right side
    647,023.20x = 446,922,947,096.64
  5. Step 5: Solve for x
    x = 446,922,947,096.64/647,023.20
  6. Step 6: Final answer
    x = 690,737.13

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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.