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Finding the Fourth Proportional to 409,221.92, 564,754.60 and 248,083.76

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Solution

The fourth proportional to 409,221.92, 564,754.60 and 248,083.76 is: 342,372.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,221.92 : 564,754.60 = 248,083.76 : x
  2. Step 2: Convert to fraction form
    409,221.92/564,754.60 = 248,083.76/x
  3. Step 3: Cross multiply
    409,221.92x = 564,754.60 × 248,083.76
  4. Step 4: Simplify right side
    409,221.92x = 140,106,444,645.30
  5. Step 5: Solve for x
    x = 140,106,444,645.30/409,221.92
  6. Step 6: Final answer
    x = 342,372.78

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1.5x scale

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.