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Finding the Fourth Proportional to 509,448.98, 764,126.61 and 172,451.11

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Solution

The fourth proportional to 509,448.98, 764,126.61 and 172,451.11 is: 258,660.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,448.98 : 764,126.61 = 172,451.11 : x
  2. Step 2: Convert to fraction form
    509,448.98/764,126.61 = 172,451.11/x
  3. Step 3: Cross multiply
    509,448.98x = 764,126.61 × 172,451.11
  4. Step 4: Simplify right side
    509,448.98x = 131,774,481,920.80
  5. Step 5: Solve for x
    x = 131,774,481,920.80/509,448.98
  6. Step 6: Final answer
    x = 258,660.80

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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.