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Finding the Fourth Proportional to 501,284.26, 691,751.85 and 299,960.74

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Solution

The fourth proportional to 501,284.26, 691,751.85 and 299,960.74 is: 413,933.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,284.26 : 691,751.85 = 299,960.74 : x
  2. Step 2: Convert to fraction form
    501,284.26/691,751.85 = 299,960.74/x
  3. Step 3: Cross multiply
    501,284.26x = 691,751.85 × 299,960.74
  4. Step 4: Simplify right side
    501,284.26x = 207,498,396,822.37
  5. Step 5: Solve for x
    x = 207,498,396,822.37/501,284.26
  6. Step 6: Final answer
    x = 413,933.60

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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.