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Finding the Fourth Proportional to 501,321.72, 691,420.14 and 440,763.96

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Solution

The fourth proportional to 501,321.72, 691,420.14 and 440,763.96 is: 607,899.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,321.72 : 691,420.14 = 440,763.96 : x
  2. Step 2: Convert to fraction form
    501,321.72/691,420.14 = 440,763.96/x
  3. Step 3: Cross multiply
    501,321.72x = 691,420.14 × 440,763.96
  4. Step 4: Simplify right side
    501,321.72x = 304,753,078,930.15
  5. Step 5: Solve for x
    x = 304,753,078,930.15/501,321.72
  6. Step 6: Final answer
    x = 607,899.21

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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.