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Finding the Fourth Proportional to 386,922, 533,952.36 and 217,156.13

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Solution

The fourth proportional to 386,922, 533,952.36 and 217,156.13 is: 299,675.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,922 : 533,952.36 = 217,156.13 : x
  2. Step 2: Convert to fraction form
    386,922/533,952.36 = 217,156.13/x
  3. Step 3: Cross multiply
    386,922x = 533,952.36 × 217,156.13
  4. Step 4: Simplify right side
    386,922x = 115,951,025,432.21
  5. Step 5: Solve for x
    x = 115,951,025,432.21/386,922
  6. Step 6: Final answer
    x = 299,675.45

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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.