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Finding the Fourth Proportional to 472,291.31, 708,542.21 and 172,765.26

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Solution

The fourth proportional to 472,291.31, 708,542.21 and 172,765.26 is: 259,186.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,291.31 : 708,542.21 = 172,765.26 : x
  2. Step 2: Convert to fraction form
    472,291.31/708,542.21 = 172,765.26/x
  3. Step 3: Cross multiply
    472,291.31x = 708,542.21 × 172,765.26
  4. Step 4: Simplify right side
    472,291.31x = 122,411,479,563.54
  5. Step 5: Solve for x
    x = 122,411,479,563.54/472,291.31
  6. Step 6: Final answer
    x = 259,186.39

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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.