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Finding the Fourth Proportional to 382,410.46, 527,726.87 and 212,640.94

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Solution

The fourth proportional to 382,410.46, 527,726.87 and 212,640.94 is: 293,444.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,410.46 : 527,726.87 = 212,640.94 : x
  2. Step 2: Convert to fraction form
    382,410.46/527,726.87 = 212,640.94/x
  3. Step 3: Cross multiply
    382,410.46x = 527,726.87 × 212,640.94
  4. Step 4: Simplify right side
    382,410.46x = 112,216,336,912.34
  5. Step 5: Solve for x
    x = 112,216,336,912.34/382,410.46
  6. Step 6: Final answer
    x = 293,444.74

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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.