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Finding the Fourth Proportional to 387,757.96, 535,106.82 and 217,993.48

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Solution

The fourth proportional to 387,757.96, 535,106.82 and 217,993.48 is: 300,831.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,757.96 : 535,106.82 = 217,993.48 : x
  2. Step 2: Convert to fraction form
    387,757.96/535,106.82 = 217,993.48/x
  3. Step 3: Cross multiply
    387,757.96x = 535,106.82 × 217,993.48
  4. Step 4: Simplify right side
    387,757.96x = 116,649,797,863.53
  5. Step 5: Solve for x
    x = 116,649,797,863.53/387,757.96
  6. Step 6: Final answer
    x = 300,831.47

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1.5x scale

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.