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Finding the Fourth Proportional to 587,493, 810,745.20 and 319,221

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Solution

The fourth proportional to 587,493, 810,745.20 and 319,221 is: 440,527.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,493 : 810,745.20 = 319,221 : x
  2. Step 2: Convert to fraction form
    587,493/810,745.20 = 319,221/x
  3. Step 3: Cross multiply
    587,493x = 810,745.20 × 319,221
  4. Step 4: Simplify right side
    587,493x = 258,806,893,489.20
  5. Step 5: Solve for x
    x = 258,806,893,489.20/587,493
  6. Step 6: Final answer
    x = 440,527.62

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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.