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Finding the Fourth Proportional to 305,820, 422,031.60 and 171,684

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Solution

The fourth proportional to 305,820, 422,031.60 and 171,684 is: 236,923.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,820 : 422,031.60 = 171,684 : x
  2. Step 2: Convert to fraction form
    305,820/422,031.60 = 171,684/x
  3. Step 3: Cross multiply
    305,820x = 422,031.60 × 171,684
  4. Step 4: Simplify right side
    305,820x = 72,456,073,214.40
  5. Step 5: Solve for x
    x = 72,456,073,214.40/305,820
  6. Step 6: Final answer
    x = 236,923.92

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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.