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Finding the Fourth Proportional to 571,422.60, 857,257.56 and 172,032.66

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Solution

The fourth proportional to 571,422.60, 857,257.56 and 172,032.66 is: 258,086.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,422.60 : 857,257.56 = 172,032.66 : x
  2. Step 2: Convert to fraction form
    571,422.60/857,257.56 = 172,032.66/x
  3. Step 3: Cross multiply
    571,422.60x = 857,257.56 × 172,032.66
  4. Step 4: Simplify right side
    571,422.60x = 147,476,298,351.91
  5. Step 5: Solve for x
    x = 147,476,298,351.91/571,422.60
  6. Step 6: Final answer
    x = 258,086.22

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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.