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Finding the Fourth Proportional to 386,965.43, 533,983 and 217,166.75

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Solution

The fourth proportional to 386,965.43, 533,983 and 217,166.75 is: 299,673.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,965.43 : 533,983 = 217,166.75 : x
  2. Step 2: Convert to fraction form
    386,965.43/533,983 = 217,166.75/x
  3. Step 3: Cross multiply
    386,965.43x = 533,983 × 217,166.75
  4. Step 4: Simplify right side
    386,965.43x = 115,963,352,665.25
  5. Step 5: Solve for x
    x = 115,963,352,665.25/386,965.43
  6. Step 6: Final answer
    x = 299,673.68

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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.