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Finding the Fourth Proportional to 501,645.20, 692,224.61 and 297,660.97

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Solution

The fourth proportional to 501,645.20, 692,224.61 and 297,660.97 is: 410,744.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,645.20 : 692,224.61 = 297,660.97 : x
  2. Step 2: Convert to fraction form
    501,645.20/692,224.61 = 297,660.97/x
  3. Step 3: Cross multiply
    501,645.20x = 692,224.61 × 297,660.97
  4. Step 4: Simplify right side
    501,645.20x = 206,048,245,651.61
  5. Step 5: Solve for x
    x = 206,048,245,651.61/501,645.20
  6. Step 6: Final answer
    x = 410,744.98

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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.