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Finding the Fourth Proportional to 409,735.92, 565,472.70 and 248,631.78

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Solution

The fourth proportional to 409,735.92, 565,472.70 and 248,631.78 is: 343,134.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,735.92 : 565,472.70 = 248,631.78 : x
  2. Step 2: Convert to fraction form
    409,735.92/565,472.70 = 248,631.78/x
  3. Step 3: Cross multiply
    409,735.92x = 565,472.70 × 248,631.78
  4. Step 4: Simplify right side
    409,735.92x = 140,594,483,942.41
  5. Step 5: Solve for x
    x = 140,594,483,942.41/409,735.92
  6. Step 6: Final answer
    x = 343,134.39

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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.