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Finding the Fourth Proportional to 647,192.89, 970,929.47 and 247,833.68

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Solution

The fourth proportional to 647,192.89, 970,929.47 and 247,833.68 is: 371,804.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,192.89 : 970,929.47 = 247,833.68 : x
  2. Step 2: Convert to fraction form
    647,192.89/970,929.47 = 247,833.68/x
  3. Step 3: Cross multiply
    647,192.89x = 970,929.47 × 247,833.68
  4. Step 4: Simplify right side
    647,192.89x = 240,629,025,997.87
  5. Step 5: Solve for x
    x = 240,629,025,997.87/647,192.89
  6. Step 6: Final answer
    x = 371,804.19

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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.