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Finding the Fourth Proportional to 647,625.40, 970,271.70 and 398,015.80

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Solution

The fourth proportional to 647,625.40, 970,271.70 and 398,015.80 is: 596,306.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,625.40 : 970,271.70 = 398,015.80 : x
  2. Step 2: Convert to fraction form
    647,625.40/970,271.70 = 398,015.80/x
  3. Step 3: Cross multiply
    647,625.40x = 970,271.70 × 398,015.80
  4. Step 4: Simplify right side
    647,625.40x = 386,183,466,892.86
  5. Step 5: Solve for x
    x = 386,183,466,892.86/647,625.40
  6. Step 6: Final answer
    x = 596,306.86

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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.