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Finding the Fourth Proportional to 319,697.86, 479,370.20 and 201,115.48

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Solution

The fourth proportional to 319,697.86, 479,370.20 and 201,115.48 is: 301,562.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,697.86 : 479,370.20 = 201,115.48 : x
  2. Step 2: Convert to fraction form
    319,697.86/479,370.20 = 201,115.48/x
  3. Step 3: Cross multiply
    319,697.86x = 479,370.20 × 201,115.48
  4. Step 4: Simplify right side
    319,697.86x = 96,408,767,870.70
  5. Step 5: Solve for x
    x = 96,408,767,870.70/319,697.86
  6. Step 6: Final answer
    x = 301,562.13

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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.