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Finding the Fourth Proportional to 288,599.86, 398,268.34 and 161,275.46

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Solution

The fourth proportional to 288,599.86, 398,268.34 and 161,275.46 is: 222,560.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,599.86 : 398,268.34 = 161,275.46 : x
  2. Step 2: Convert to fraction form
    288,599.86/398,268.34 = 161,275.46/x
  3. Step 3: Cross multiply
    288,599.86x = 398,268.34 × 161,275.46
  4. Step 4: Simplify right side
    288,599.86x = 64,230,908,249.58
  5. Step 5: Solve for x
    x = 64,230,908,249.58/288,599.86
  6. Step 6: Final answer
    x = 222,560.43

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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.