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Finding the Fourth Proportional to 382,427.56, 527,687.94 and 212,657.32

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Solution

The fourth proportional to 382,427.56, 527,687.94 and 212,657.32 is: 293,432.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,427.56 : 527,687.94 = 212,657.32 : x
  2. Step 2: Convert to fraction form
    382,427.56/527,687.94 = 212,657.32/x
  3. Step 3: Cross multiply
    382,427.56x = 527,687.94 × 212,657.32
  4. Step 4: Simplify right side
    382,427.56x = 112,216,703,116.72
  5. Step 5: Solve for x
    x = 112,216,703,116.72/382,427.56
  6. Step 6: Final answer
    x = 293,432.57

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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.