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Finding the Fourth Proportional to 382,489.02, 527,853.51 and 212,719.50

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Solution

The fourth proportional to 382,489.02, 527,853.51 and 212,719.50 is: 293,563.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,489.02 : 527,853.51 = 212,719.50 : x
  2. Step 2: Convert to fraction form
    382,489.02/527,853.51 = 212,719.50/x
  3. Step 3: Cross multiply
    382,489.02x = 527,853.51 × 212,719.50
  4. Step 4: Simplify right side
    382,489.02x = 112,284,734,720.45
  5. Step 5: Solve for x
    x = 112,284,734,720.45/382,489.02
  6. Step 6: Final answer
    x = 293,563.29

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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.