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Finding the Fourth Proportional to 591,381.72, 816,106.25 and 319,449.53

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Solution

The fourth proportional to 591,381.72, 816,106.25 and 319,449.53 is: 440,840.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,381.72 : 816,106.25 = 319,449.53 : x
  2. Step 2: Convert to fraction form
    591,381.72/816,106.25 = 319,449.53/x
  3. Step 3: Cross multiply
    591,381.72x = 816,106.25 × 319,449.53
  4. Step 4: Simplify right side
    591,381.72x = 260,704,757,992.56
  5. Step 5: Solve for x
    x = 260,704,757,992.56/591,381.72
  6. Step 6: Final answer
    x = 440,840.07

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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.