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Finding the Fourth Proportional to 340,381.58, 510,627.78 and 100,519.74

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Solution

The fourth proportional to 340,381.58, 510,627.78 and 100,519.74 is: 150,795.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,381.58 : 510,627.78 = 100,519.74 : x
  2. Step 2: Convert to fraction form
    340,381.58/510,627.78 = 100,519.74/x
  3. Step 3: Cross multiply
    340,381.58x = 510,627.78 × 100,519.74
  4. Step 4: Simplify right side
    340,381.58x = 51,328,168,626.64
  5. Step 5: Solve for x
    x = 51,328,168,626.64/340,381.58
  6. Step 6: Final answer
    x = 150,795.96

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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.