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Finding the Fourth Proportional to 382,418.44, 527,730.80 and 212,648.92

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Solution

The fourth proportional to 382,418.44, 527,730.80 and 212,648.92 is: 293,451.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,418.44 : 527,730.80 = 212,648.92 : x
  2. Step 2: Convert to fraction form
    382,418.44/527,730.80 = 212,648.92/x
  3. Step 3: Cross multiply
    382,418.44x = 527,730.80 × 212,648.92
  4. Step 4: Simplify right side
    382,418.44x = 112,221,384,670.74
  5. Step 5: Solve for x
    x = 112,221,384,670.74/382,418.44
  6. Step 6: Final answer
    x = 293,451.81

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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.