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Finding the Fourth Proportional to 398,589.88, 597,220.52 and 280,049

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Solution

The fourth proportional to 398,589.88, 597,220.52 and 280,049 is: 419,606.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,589.88 : 597,220.52 = 280,049 : x
  2. Step 2: Convert to fraction form
    398,589.88/597,220.52 = 280,049/x
  3. Step 3: Cross multiply
    398,589.88x = 597,220.52 × 280,049
  4. Step 4: Simplify right side
    398,589.88x = 167,251,009,405.48
  5. Step 5: Solve for x
    x = 167,251,009,405.48/398,589.88
  6. Step 6: Final answer
    x = 419,606.76

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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.