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Finding the Fourth Proportional to 613,657.38, 918,788.42 and 313,491.63

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Solution

The fourth proportional to 613,657.38, 918,788.42 and 313,491.63 is: 469,370.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,657.38 : 918,788.42 = 313,491.63 : x
  2. Step 2: Convert to fraction form
    613,657.38/918,788.42 = 313,491.63/x
  3. Step 3: Cross multiply
    613,657.38x = 918,788.42 × 313,491.63
  4. Step 4: Simplify right side
    613,657.38x = 288,032,481,876.72
  5. Step 5: Solve for x
    x = 288,032,481,876.72/613,657.38
  6. Step 6: Final answer
    x = 469,370.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.