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Finding the Fourth Proportional to 340,399.78, 510,363.20 and 150,756.80

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Solution

The fourth proportional to 340,399.78, 510,363.20 and 150,756.80 is: 226,030.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,399.78 : 510,363.20 = 150,756.80 : x
  2. Step 2: Convert to fraction form
    340,399.78/510,363.20 = 150,756.80/x
  3. Step 3: Cross multiply
    340,399.78x = 510,363.20 × 150,756.80
  4. Step 4: Simplify right side
    340,399.78x = 76,940,720,694.84
  5. Step 5: Solve for x
    x = 76,940,720,694.84/340,399.78
  6. Step 6: Final answer
    x = 226,030.47

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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.