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Finding the Fourth Proportional to 501,344.53, 691,943.91 and 297,507.85

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Solution

The fourth proportional to 501,344.53, 691,943.91 and 297,507.85 is: 410,613.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,344.53 : 691,943.91 = 297,507.85 : x
  2. Step 2: Convert to fraction form
    501,344.53/691,943.91 = 297,507.85/x
  3. Step 3: Cross multiply
    501,344.53x = 691,943.91 × 297,507.85
  4. Step 4: Simplify right side
    501,344.53x = 205,858,744,984.69
  5. Step 5: Solve for x
    x = 205,858,744,984.69/501,344.53
  6. Step 6: Final answer
    x = 410,613.33

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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.