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Finding the Fourth Proportional to 288,952, 398,771.44 and 161,636.16

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Solution

The fourth proportional to 288,952, 398,771.44 and 161,636.16 is: 223,067.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,952 : 398,771.44 = 161,636.16 : x
  2. Step 2: Convert to fraction form
    288,952/398,771.44 = 161,636.16/x
  3. Step 3: Cross multiply
    288,952x = 398,771.44 × 161,636.16
  4. Step 4: Simplify right side
    288,952x = 64,455,884,279.27
  5. Step 5: Solve for x
    x = 64,455,884,279.27/288,952
  6. Step 6: Final answer
    x = 223,067.79

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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.