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Finding the Fourth Proportional to 288,682.83, 398,390.81 and 161,358.75

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Solution

The fourth proportional to 288,682.83, 398,390.81 and 161,358.75 is: 222,679.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,682.83 : 398,390.81 = 161,358.75 : x
  2. Step 2: Convert to fraction form
    288,682.83/398,390.81 = 161,358.75/x
  3. Step 3: Cross multiply
    288,682.83x = 398,390.81 × 161,358.75
  4. Step 4: Simplify right side
    288,682.83x = 64,283,842,306.29
  5. Step 5: Solve for x
    x = 64,283,842,306.29/288,682.83
  6. Step 6: Final answer
    x = 222,679.83

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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.