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Finding the Fourth Proportional to 263,798.48, 395,782.47 and 86,265.11

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Solution

The fourth proportional to 263,798.48, 395,782.47 and 86,265.11 is: 129,425.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,798.48 : 395,782.47 = 86,265.11 : x
  2. Step 2: Convert to fraction form
    263,798.48/395,782.47 = 86,265.11/x
  3. Step 3: Cross multiply
    263,798.48x = 395,782.47 × 86,265.11
  4. Step 4: Simplify right side
    263,798.48x = 34,142,216,331.71
  5. Step 5: Solve for x
    x = 34,142,216,331.71/263,798.48
  6. Step 6: Final answer
    x = 129,425.37

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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.