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Finding the Fourth Proportional to 288,575.69, 398,232.51 and 161,251.58

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Solution

The fourth proportional to 288,575.69, 398,232.51 and 161,251.58 is: 222,526.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,575.69 : 398,232.51 = 161,251.58 : x
  2. Step 2: Convert to fraction form
    288,575.69/398,232.51 = 161,251.58/x
  3. Step 3: Cross multiply
    288,575.69x = 398,232.51 × 161,251.58
  4. Step 4: Simplify right side
    288,575.69x = 64,215,621,444.87
  5. Step 5: Solve for x
    x = 64,215,621,444.87/288,575.69
  6. Step 6: Final answer
    x = 222,526.10

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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.