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Finding the Fourth Proportional to 409,216.91, 564,747.69 and 248,078.75

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Solution

The fourth proportional to 409,216.91, 564,747.69 and 248,078.75 is: 342,365.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,216.91 : 564,747.69 = 248,078.75 : x
  2. Step 2: Convert to fraction form
    409,216.91/564,747.69 = 248,078.75/x
  3. Step 3: Cross multiply
    409,216.91x = 564,747.69 × 248,078.75
  4. Step 4: Simplify right side
    409,216.91x = 140,101,901,000.59
  5. Step 5: Solve for x
    x = 140,101,901,000.59/409,216.91
  6. Step 6: Final answer
    x = 342,365.86

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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.