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Finding the Fourth Proportional to 398,498.48, 597,747.72 and 230,275.76

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Solution

The fourth proportional to 398,498.48, 597,747.72 and 230,275.76 is: 345,413.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,498.48 : 597,747.72 = 230,275.76 : x
  2. Step 2: Convert to fraction form
    398,498.48/597,747.72 = 230,275.76/x
  3. Step 3: Cross multiply
    398,498.48x = 597,747.72 × 230,275.76
  4. Step 4: Simplify right side
    398,498.48x = 137,646,810,511.27
  5. Step 5: Solve for x
    x = 137,646,810,511.27/398,498.48
  6. Step 6: Final answer
    x = 345,413.64

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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.