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Finding the Fourth Proportional to 501,339.78, 691,937.31 and 297,503.10

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Solution

The fourth proportional to 501,339.78, 691,937.31 and 297,503.10 is: 410,606.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,339.78 : 691,937.31 = 297,503.10 : x
  2. Step 2: Convert to fraction form
    501,339.78/691,937.31 = 297,503.10/x
  3. Step 3: Cross multiply
    501,339.78x = 691,937.31 × 297,503.10
  4. Step 4: Simplify right side
    501,339.78x = 205,853,494,730.66
  5. Step 5: Solve for x
    x = 205,853,494,730.66/501,339.78
  6. Step 6: Final answer
    x = 410,606.74

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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.