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Finding the Fourth Proportional to 687,204, 948,445.20 and 419,087.52

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Solution

The fourth proportional to 687,204, 948,445.20 and 419,087.52 is: 578,404.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,204 : 948,445.20 = 419,087.52 : x
  2. Step 2: Convert to fraction form
    687,204/948,445.20 = 419,087.52/x
  3. Step 3: Cross multiply
    687,204x = 948,445.20 × 419,087.52
  4. Step 4: Simplify right side
    687,204x = 397,481,546,723.90
  5. Step 5: Solve for x
    x = 397,481,546,723.90/687,204
  6. Step 6: Final answer
    x = 578,404.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.