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Finding the Fourth Proportional to 400,797.54, 552,834.42 and 257,738.58

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Solution

The fourth proportional to 400,797.54, 552,834.42 and 257,738.58 is: 355,508.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,797.54 : 552,834.42 = 257,738.58 : x
  2. Step 2: Convert to fraction form
    400,797.54/552,834.42 = 257,738.58/x
  3. Step 3: Cross multiply
    400,797.54x = 552,834.42 × 257,738.58
  4. Step 4: Simplify right side
    400,797.54x = 142,486,758,385.92
  5. Step 5: Solve for x
    x = 142,486,758,385.92/400,797.54
  6. Step 6: Final answer
    x = 355,508.07

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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.