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Finding the Fourth Proportional to 288,571.95, 398,112.84 and 191,822.58

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Solution

The fourth proportional to 288,571.95, 398,112.84 and 191,822.58 is: 264,637.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,571.95 : 398,112.84 = 191,822.58 : x
  2. Step 2: Convert to fraction form
    288,571.95/398,112.84 = 191,822.58/x
  3. Step 3: Cross multiply
    288,571.95x = 398,112.84 × 191,822.58
  4. Step 4: Simplify right side
    288,571.95x = 76,367,032,099.93
  5. Step 5: Solve for x
    x = 76,367,032,099.93/288,571.95
  6. Step 6: Final answer
    x = 264,637.75

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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.