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Finding the Fourth Proportional to 409,747.92, 565,489.32 and 248,643.84

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Solution

The fourth proportional to 409,747.92, 565,489.32 and 248,643.84 is: 343,151.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,747.92 : 565,489.32 = 248,643.84 : x
  2. Step 2: Convert to fraction form
    409,747.92/565,489.32 = 248,643.84/x
  3. Step 3: Cross multiply
    409,747.92x = 565,489.32 × 248,643.84
  4. Step 4: Simplify right side
    409,747.92x = 140,605,436,003.79
  5. Step 5: Solve for x
    x = 140,605,436,003.79/409,747.92
  6. Step 6: Final answer
    x = 343,151.07

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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.