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Finding the Fourth Proportional to 386,231.20, 523,071 and 386,231.20

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Solution

The fourth proportional to 386,231.20, 523,071 and 386,231.20 is: 523,071

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,231.20 : 523,071 = 386,231.20 : x
  2. Step 2: Convert to fraction form
    386,231.20/523,071 = 386,231.20/x
  3. Step 3: Cross multiply
    386,231.20x = 523,071 × 386,231.20
  4. Step 4: Simplify right side
    386,231.20x = 202,026,340,015.20
  5. Step 5: Solve for x
    x = 202,026,340,015.20/386,231.20
  6. Step 6: Final answer
    x = 523,071

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.