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Finding the Fourth Proportional to 647,135.60, 969,974.40 and 310,337.60

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Solution

The fourth proportional to 647,135.60, 969,974.40 and 310,337.60 is: 465,156.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,135.60 : 969,974.40 = 310,337.60 : x
  2. Step 2: Convert to fraction form
    647,135.60/969,974.40 = 310,337.60/x
  3. Step 3: Cross multiply
    647,135.60x = 969,974.40 × 310,337.60
  4. Step 4: Simplify right side
    647,135.60x = 301,019,527,357.44
  5. Step 5: Solve for x
    x = 301,019,527,357.44/647,135.60
  6. Step 6: Final answer
    x = 465,156.80

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1.5x scale

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.