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Finding the Fourth Proportional to 382,498.80, 527,867.01 and 212,729.28

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Solution

The fourth proportional to 382,498.80, 527,867.01 and 212,729.28 is: 293,576.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,498.80 : 527,867.01 = 212,729.28 : x
  2. Step 2: Convert to fraction form
    382,498.80/527,867.01 = 212,729.28/x
  3. Step 3: Cross multiply
    382,498.80x = 527,867.01 × 212,729.28
  4. Step 4: Simplify right side
    382,498.80x = 112,292,768,973.05
  5. Step 5: Solve for x
    x = 112,292,768,973.05/382,498.80
  6. Step 6: Final answer
    x = 293,576.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.