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Finding the Fourth Proportional to 306,345.80, 422,753.46 and 172,209.80

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Solution

The fourth proportional to 306,345.80, 422,753.46 and 172,209.80 is: 237,647.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,345.80 : 422,753.46 = 172,209.80 : x
  2. Step 2: Convert to fraction form
    306,345.80/422,753.46 = 172,209.80/x
  3. Step 3: Cross multiply
    306,345.80x = 422,753.46 × 172,209.80
  4. Step 4: Simplify right side
    306,345.80x = 72,802,288,795.91
  5. Step 5: Solve for x
    x = 72,802,288,795.91/306,345.80
  6. Step 6: Final answer
    x = 237,647.42

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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.