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Finding the Fourth Proportional to 400,852.92, 552,911.20 and 257,793.96

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Solution

The fourth proportional to 400,852.92, 552,911.20 and 257,793.96 is: 355,584.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,852.92 : 552,911.20 = 257,793.96 : x
  2. Step 2: Convert to fraction form
    400,852.92/552,911.20 = 257,793.96/x
  3. Step 3: Cross multiply
    400,852.92x = 552,911.20 × 257,793.96
  4. Step 4: Simplify right side
    400,852.92x = 142,537,167,776.35
  5. Step 5: Solve for x
    x = 142,537,167,776.35/400,852.92
  6. Step 6: Final answer
    x = 355,584.71

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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.