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Finding the Fourth Proportional to 288,855.40, 398,631.22 and 161,530.68

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Solution

The fourth proportional to 288,855.40, 398,631.22 and 161,530.68 is: 222,918.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,855.40 : 398,631.22 = 161,530.68 : x
  2. Step 2: Convert to fraction form
    288,855.40/398,631.22 = 161,530.68/x
  3. Step 3: Cross multiply
    288,855.40x = 398,631.22 × 161,530.68
  4. Step 4: Simplify right side
    288,855.40x = 64,391,172,035.83
  5. Step 5: Solve for x
    x = 64,391,172,035.83/288,855.40
  6. Step 6: Final answer
    x = 222,918.36

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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.