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Finding the Fourth Proportional to 591,202.85, 815,859.92 and 319,270.72

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Solution

The fourth proportional to 591,202.85, 815,859.92 and 319,270.72 is: 440,593.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,202.85 : 815,859.92 = 319,270.72 : x
  2. Step 2: Convert to fraction form
    591,202.85/815,859.92 = 319,270.72/x
  3. Step 3: Cross multiply
    591,202.85x = 815,859.92 × 319,270.72
  4. Step 4: Simplify right side
    591,202.85x = 260,480,184,365.81
  5. Step 5: Solve for x
    x = 260,480,184,365.81/591,202.85
  6. Step 6: Final answer
    x = 440,593.59

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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.