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Finding the Fourth Proportional to 207,897.30, 311,408.55 and 172,905.30

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Solution

The fourth proportional to 207,897.30, 311,408.55 and 172,905.30 is: 258,994.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,897.30 : 311,408.55 = 172,905.30 : x
  2. Step 2: Convert to fraction form
    207,897.30/311,408.55 = 172,905.30/x
  3. Step 3: Cross multiply
    207,897.30x = 311,408.55 × 172,905.30
  4. Step 4: Simplify right side
    207,897.30x = 53,844,188,760.32
  5. Step 5: Solve for x
    x = 53,844,188,760.32/207,897.30
  6. Step 6: Final answer
    x = 258,994.17

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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.