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Finding the Fourth Proportional to 587,670.92, 810,991.22 and 319,399.56

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Solution

The fourth proportional to 587,670.92, 810,991.22 and 319,399.56 is: 440,774.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,670.92 : 810,991.22 = 319,399.56 : x
  2. Step 2: Convert to fraction form
    587,670.92/810,991.22 = 319,399.56/x
  3. Step 3: Cross multiply
    587,670.92x = 810,991.22 × 319,399.56
  4. Step 4: Simplify right side
    587,670.92x = 259,030,238,831.86
  5. Step 5: Solve for x
    x = 259,030,238,831.86/587,670.92
  6. Step 6: Final answer
    x = 440,774.30

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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.