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Finding the Fourth Proportional to 349,245.24, 523,870.80 and 191,387.64

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Solution

The fourth proportional to 349,245.24, 523,870.80 and 191,387.64 is: 287,083.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,245.24 : 523,870.80 = 191,387.64 : x
  2. Step 2: Convert to fraction form
    349,245.24/523,870.80 = 191,387.64/x
  3. Step 3: Cross multiply
    349,245.24x = 523,870.80 × 191,387.64
  4. Step 4: Simplify right side
    349,245.24x = 100,262,396,076.91
  5. Step 5: Solve for x
    x = 100,262,396,076.91/349,245.24
  6. Step 6: Final answer
    x = 287,083.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.