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Finding the Fourth Proportional to 501,345.26, 691,944.92 and 297,508.58

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Solution

The fourth proportional to 501,345.26, 691,944.92 and 297,508.58 is: 410,614.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,345.26 : 691,944.92 = 297,508.58 : x
  2. Step 2: Convert to fraction form
    501,345.26/691,944.92 = 297,508.58/x
  3. Step 3: Cross multiply
    501,345.26x = 691,944.92 × 297,508.58
  4. Step 4: Simplify right side
    501,345.26x = 205,859,550,587.41
  5. Step 5: Solve for x
    x = 205,859,550,587.41/501,345.26
  6. Step 6: Final answer
    x = 410,614.34

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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.