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Finding the Fourth Proportional to 382,187.04, 527,436 and 212,424

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Solution

The fourth proportional to 382,187.04, 527,436 and 212,424 is: 293,155.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,187.04 : 527,436 = 212,424 : x
  2. Step 2: Convert to fraction form
    382,187.04/527,436 = 212,424/x
  3. Step 3: Cross multiply
    382,187.04x = 527,436 × 212,424
  4. Step 4: Simplify right side
    382,187.04x = 112,040,064,864
  5. Step 5: Solve for x
    x = 112,040,064,864/382,187.04
  6. Step 6: Final answer
    x = 293,155.06

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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.