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Finding the Fourth Proportional to 382,523.31, 527,874.81 and 210,431.22

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Solution

The fourth proportional to 382,523.31, 527,874.81 and 210,431.22 is: 290,391.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,523.31 : 527,874.81 = 210,431.22 : x
  2. Step 2: Convert to fraction form
    382,523.31/527,874.81 = 210,431.22/x
  3. Step 3: Cross multiply
    382,523.31x = 527,874.81 × 210,431.22
  4. Step 4: Simplify right side
    382,523.31x = 111,081,340,275.57
  5. Step 5: Solve for x
    x = 111,081,340,275.57/382,523.31
  6. Step 6: Final answer
    x = 290,391.04

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1.5x scale

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.