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Finding the Fourth Proportional to 509,754.82, 764,787.75 and 260,611.78

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Solution

The fourth proportional to 509,754.82, 764,787.75 and 260,611.78 is: 390,997.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,754.82 : 764,787.75 = 260,611.78 : x
  2. Step 2: Convert to fraction form
    509,754.82/764,787.75 = 260,611.78/x
  3. Step 3: Cross multiply
    509,754.82x = 764,787.75 × 260,611.78
  4. Step 4: Simplify right side
    509,754.82x = 199,312,696,849.70
  5. Step 5: Solve for x
    x = 199,312,696,849.70/509,754.82
  6. Step 6: Final answer
    x = 390,997.18

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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.