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Finding the Fourth Proportional to 550,326.48, 825,351.12 and 213,251.28

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Solution

The fourth proportional to 550,326.48, 825,351.12 and 213,251.28 is: 319,823.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,326.48 : 825,351.12 = 213,251.28 : x
  2. Step 2: Convert to fraction form
    550,326.48/825,351.12 = 213,251.28/x
  3. Step 3: Cross multiply
    550,326.48x = 825,351.12 × 213,251.28
  4. Step 4: Simplify right side
    550,326.48x = 176,007,182,789.43
  5. Step 5: Solve for x
    x = 176,007,182,789.43/550,326.48
  6. Step 6: Final answer
    x = 319,823.21

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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.