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Finding the Fourth Proportional to 207,899.80, 311,412.30 and 172,907.80

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Solution

The fourth proportional to 207,899.80, 311,412.30 and 172,907.80 is: 258,997.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,899.80 : 311,412.30 = 172,907.80 : x
  2. Step 2: Convert to fraction form
    207,899.80/311,412.30 = 172,907.80/x
  3. Step 3: Cross multiply
    207,899.80x = 311,412.30 × 172,907.80
  4. Step 4: Simplify right side
    207,899.80x = 53,845,615,685.94
  5. Step 5: Solve for x
    x = 53,845,615,685.94/207,899.80
  6. Step 6: Final answer
    x = 258,997.92

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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.