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Finding the Fourth Proportional to 501,290.98, 691,781.74 and 271,848.20

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Solution

The fourth proportional to 501,290.98, 691,781.74 and 271,848.20 is: 375,150.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,290.98 : 691,781.74 = 271,848.20 : x
  2. Step 2: Convert to fraction form
    501,290.98/691,781.74 = 271,848.20/x
  3. Step 3: Cross multiply
    501,290.98x = 691,781.74 × 271,848.20
  4. Step 4: Simplify right side
    501,290.98x = 188,059,616,673.34
  5. Step 5: Solve for x
    x = 188,059,616,673.34/501,290.98
  6. Step 6: Final answer
    x = 375,150.61

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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.