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Finding the Fourth Proportional to 382,523.56, 527,875.16 and 210,431.46

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Solution

The fourth proportional to 382,523.56, 527,875.16 and 210,431.46 is: 290,391.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,523.56 : 527,875.16 = 210,431.46 : x
  2. Step 2: Convert to fraction form
    382,523.56/527,875.16 = 210,431.46/x
  3. Step 3: Cross multiply
    382,523.56x = 527,875.16 × 210,431.46
  4. Step 4: Simplify right side
    382,523.56x = 111,081,540,616.53
  5. Step 5: Solve for x
    x = 111,081,540,616.53/382,523.56
  6. Step 6: Final answer
    x = 290,391.37

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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.