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Finding the Fourth Proportional to 386,683.74, 580,255.25 and 209,186.82

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Solution

The fourth proportional to 386,683.74, 580,255.25 and 209,186.82 is: 313,904.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,683.74 : 580,255.25 = 209,186.82 : x
  2. Step 2: Convert to fraction form
    386,683.74/580,255.25 = 209,186.82/x
  3. Step 3: Cross multiply
    386,683.74x = 580,255.25 × 209,186.82
  4. Step 4: Simplify right side
    386,683.74x = 121,381,749,489.87
  5. Step 5: Solve for x
    x = 121,381,749,489.87/386,683.74
  6. Step 6: Final answer
    x = 313,904.46

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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.