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Finding the Fourth Proportional to 305,904.08, 422,153.16 and 171,772.88

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Solution

The fourth proportional to 305,904.08, 422,153.16 and 171,772.88 is: 237,049.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,904.08 : 422,153.16 = 171,772.88 : x
  2. Step 2: Convert to fraction form
    305,904.08/422,153.16 = 171,772.88/x
  3. Step 3: Cross multiply
    305,904.08x = 422,153.16 × 171,772.88
  4. Step 4: Simplify right side
    305,904.08x = 72,514,464,094.30
  5. Step 5: Solve for x
    x = 72,514,464,094.30/305,904.08
  6. Step 6: Final answer
    x = 237,049.68

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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.