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Finding the Fourth Proportional to 340,243.08, 510,552.54 and 140,517

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Solution

The fourth proportional to 340,243.08, 510,552.54 and 140,517 is: 210,853.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,243.08 : 510,552.54 = 140,517 : x
  2. Step 2: Convert to fraction form
    340,243.08/510,552.54 = 140,517/x
  3. Step 3: Cross multiply
    340,243.08x = 510,552.54 × 140,517
  4. Step 4: Simplify right side
    340,243.08x = 71,741,311,263.18
  5. Step 5: Solve for x
    x = 71,741,311,263.18/340,243.08
  6. Step 6: Final answer
    x = 210,853.11

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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.