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Finding the Fourth Proportional to 340,381.70, 510,627.96 and 100,519.86

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Solution

The fourth proportional to 340,381.70, 510,627.96 and 100,519.86 is: 150,796.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,381.70 : 510,627.96 = 100,519.86 : x
  2. Step 2: Convert to fraction form
    340,381.70/510,627.96 = 100,519.86/x
  3. Step 3: Cross multiply
    340,381.70x = 510,627.96 × 100,519.86
  4. Step 4: Simplify right side
    340,381.70x = 51,328,253,343.09
  5. Step 5: Solve for x
    x = 51,328,253,343.09/340,381.70
  6. Step 6: Final answer
    x = 150,796.16

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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.