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Finding the Fourth Proportional to 394,718.16, 591,224.31 and 207,336

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Solution

The fourth proportional to 394,718.16, 591,224.31 and 207,336 is: 310,555.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,718.16 : 591,224.31 = 207,336 : x
  2. Step 2: Convert to fraction form
    394,718.16/591,224.31 = 207,336/x
  3. Step 3: Cross multiply
    394,718.16x = 591,224.31 × 207,336
  4. Step 4: Simplify right side
    394,718.16x = 122,582,083,538.16
  5. Step 5: Solve for x
    x = 122,582,083,538.16/394,718.16
  6. Step 6: Final answer
    x = 310,555.98

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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.