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Finding the Fourth Proportional to 263,406.40, 396,031.20 and 257,876.80

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Solution

The fourth proportional to 263,406.40, 396,031.20 and 257,876.80 is: 387,717.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,406.40 : 396,031.20 = 257,876.80 : x
  2. Step 2: Convert to fraction form
    263,406.40/396,031.20 = 257,876.80/x
  3. Step 3: Cross multiply
    263,406.40x = 396,031.20 × 257,876.80
  4. Step 4: Simplify right side
    263,406.40x = 102,127,258,556.16
  5. Step 5: Solve for x
    x = 102,127,258,556.16/263,406.40
  6. Step 6: Final answer
    x = 387,717.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.