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Finding the Fourth Proportional to 431,221.75, 646,117.56 and 262,230.90

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Solution

The fourth proportional to 431,221.75, 646,117.56 and 262,230.90 is: 392,911.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,221.75 : 646,117.56 = 262,230.90 : x
  2. Step 2: Convert to fraction form
    431,221.75/646,117.56 = 262,230.90/x
  3. Step 3: Cross multiply
    431,221.75x = 646,117.56 × 262,230.90
  4. Step 4: Simplify right side
    431,221.75x = 169,431,986,993.73
  5. Step 5: Solve for x
    x = 169,431,986,993.73/431,221.75
  6. Step 6: Final answer
    x = 392,911.50

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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.