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Finding the Fourth Proportional to 340,428.72, 510,643.22 and 339,936.78

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Solution

The fourth proportional to 340,428.72, 510,643.22 and 339,936.78 is: 509,905.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,428.72 : 510,643.22 = 339,936.78 : x
  2. Step 2: Convert to fraction form
    340,428.72/510,643.22 = 339,936.78/x
  3. Step 3: Cross multiply
    340,428.72x = 510,643.22 × 339,936.78
  4. Step 4: Simplify right side
    340,428.72x = 173,586,410,235.95
  5. Step 5: Solve for x
    x = 173,586,410,235.95/340,428.72
  6. Step 6: Final answer
    x = 509,905.30

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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.