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Finding the Fourth Proportional to 509,721.94, 764,530.03 and 172,753.84

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Solution

The fourth proportional to 509,721.94, 764,530.03 and 172,753.84 is: 259,112.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,721.94 : 764,530.03 = 172,753.84 : x
  2. Step 2: Convert to fraction form
    509,721.94/764,530.03 = 172,753.84/x
  3. Step 3: Cross multiply
    509,721.94x = 764,530.03 × 172,753.84
  4. Step 4: Simplify right side
    509,721.94x = 132,075,498,477.82
  5. Step 5: Solve for x
    x = 132,075,498,477.82/509,721.94
  6. Step 6: Final answer
    x = 259,112.84

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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.