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Finding the Fourth Proportional to 591,375.82, 816,098.96 and 319,443.71

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Solution

The fourth proportional to 591,375.82, 816,098.96 and 319,443.71 is: 440,832.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,375.82 : 816,098.96 = 319,443.71 : x
  2. Step 2: Convert to fraction form
    591,375.82/816,098.96 = 319,443.71/x
  3. Step 3: Cross multiply
    591,375.82x = 816,098.96 × 319,443.71
  4. Step 4: Simplify right side
    591,375.82x = 260,697,679,952.57
  5. Step 5: Solve for x
    x = 260,697,679,952.57/591,375.82
  6. Step 6: Final answer
    x = 440,832.50

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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.