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Finding the Fourth Proportional to 501,031.53, 691,394.22 and 297,102.06

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Solution

The fourth proportional to 501,031.53, 691,394.22 and 297,102.06 is: 409,983.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,031.53 : 691,394.22 = 297,102.06 : x
  2. Step 2: Convert to fraction form
    501,031.53/691,394.22 = 297,102.06/x
  3. Step 3: Cross multiply
    501,031.53x = 691,394.22 × 297,102.06
  4. Step 4: Simplify right side
    501,031.53x = 205,414,647,034.09
  5. Step 5: Solve for x
    x = 205,414,647,034.09/501,031.53
  6. Step 6: Final answer
    x = 409,983.47

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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.