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Finding the Fourth Proportional to 382,168.32, 527,388.48 and 212,398.80

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Solution

The fourth proportional to 382,168.32, 527,388.48 and 212,398.80 is: 293,108.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,168.32 : 527,388.48 = 212,398.80 : x
  2. Step 2: Convert to fraction form
    382,168.32/527,388.48 = 212,398.80/x
  3. Step 3: Cross multiply
    382,168.32x = 527,388.48 × 212,398.80
  4. Step 4: Simplify right side
    382,168.32x = 112,016,680,285.82
  5. Step 5: Solve for x
    x = 112,016,680,285.82/382,168.32
  6. Step 6: Final answer
    x = 293,108.23

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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.