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Finding the Fourth Proportional to 501,077.71, 691,515.53 and 297,249.31

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Solution

The fourth proportional to 501,077.71, 691,515.53 and 297,249.31 is: 410,220.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,077.71 : 691,515.53 = 297,249.31 : x
  2. Step 2: Convert to fraction form
    501,077.71/691,515.53 = 297,249.31/x
  3. Step 3: Cross multiply
    501,077.71x = 691,515.53 × 297,249.31
  4. Step 4: Simplify right side
    501,077.71x = 205,552,514,146.78
  5. Step 5: Solve for x
    x = 205,552,514,146.78/501,077.71
  6. Step 6: Final answer
    x = 410,220.83

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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.