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Finding the Fourth Proportional to 398,348.56, 597,633.72 and 173,728.72

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Solution

The fourth proportional to 398,348.56, 597,633.72 and 173,728.72 is: 260,641.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,348.56 : 597,633.72 = 173,728.72 : x
  2. Step 2: Convert to fraction form
    398,348.56/597,633.72 = 173,728.72/x
  3. Step 3: Cross multiply
    398,348.56x = 597,633.72 × 173,728.72
  4. Step 4: Simplify right side
    398,348.56x = 103,826,141,204.44
  5. Step 5: Solve for x
    x = 103,826,141,204.44/398,348.56
  6. Step 6: Final answer
    x = 260,641.44

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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.