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Finding the Fourth Proportional to 391,757.81, 587,802.76 and 214,057.23

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Solution

The fourth proportional to 391,757.81, 587,802.76 and 214,057.23 is: 321,176.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,757.81 : 587,802.76 = 214,057.23 : x
  2. Step 2: Convert to fraction form
    391,757.81/587,802.76 = 214,057.23/x
  3. Step 3: Cross multiply
    391,757.81x = 587,802.76 × 214,057.23
  4. Step 4: Simplify right side
    391,757.81x = 125,823,426,582.66
  5. Step 5: Solve for x
    x = 125,823,426,582.66/391,757.81
  6. Step 6: Final answer
    x = 321,176.56

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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.