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Finding the Fourth Proportional to 398,596.74, 597,229.38 and 280,055.86

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Solution

The fourth proportional to 398,596.74, 597,229.38 and 280,055.86 is: 419,616.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,596.74 : 597,229.38 = 280,055.86 : x
  2. Step 2: Convert to fraction form
    398,596.74/597,229.38 = 280,055.86/x
  3. Step 3: Cross multiply
    398,596.74x = 597,229.38 × 280,055.86
  4. Step 4: Simplify right side
    398,596.74x = 167,257,587,633.17
  5. Step 5: Solve for x
    x = 167,257,587,633.17/398,596.74
  6. Step 6: Final answer
    x = 419,616.05

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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.