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Finding the Fourth Proportional to 207,857.30, 311,348.55 and 172,865.30

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Solution

The fourth proportional to 207,857.30, 311,348.55 and 172,865.30 is: 258,934.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,857.30 : 311,348.55 = 172,865.30 : x
  2. Step 2: Convert to fraction form
    207,857.30/311,348.55 = 172,865.30/x
  3. Step 3: Cross multiply
    207,857.30x = 311,348.55 × 172,865.30
  4. Step 4: Simplify right side
    207,857.30x = 53,821,360,500.32
  5. Step 5: Solve for x
    x = 53,821,360,500.32/207,857.30
  6. Step 6: Final answer
    x = 258,934.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.