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Finding the Fourth Proportional to 382,498.78, 527,867.01 and 212,729.26

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Solution

The fourth proportional to 382,498.78, 527,867.01 and 212,729.26 is: 293,576.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,498.78 : 527,867.01 = 212,729.26 : x
  2. Step 2: Convert to fraction form
    382,498.78/527,867.01 = 212,729.26/x
  3. Step 3: Cross multiply
    382,498.78x = 527,867.01 × 212,729.26
  4. Step 4: Simplify right side
    382,498.78x = 112,292,758,415.71
  5. Step 5: Solve for x
    x = 112,292,758,415.71/382,498.78
  6. Step 6: Final answer
    x = 293,576.78

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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.