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Finding the Fourth Proportional to 340,131.88, 510,021.30 and 100,214.64

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Solution

The fourth proportional to 340,131.88, 510,021.30 and 100,214.64 is: 150,269.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,131.88 : 510,021.30 = 100,214.64 : x
  2. Step 2: Convert to fraction form
    340,131.88/510,021.30 = 100,214.64/x
  3. Step 3: Cross multiply
    340,131.88x = 510,021.30 × 100,214.64
  4. Step 4: Simplify right side
    340,131.88x = 51,111,600,971.83
  5. Step 5: Solve for x
    x = 51,111,600,971.83/340,131.88
  6. Step 6: Final answer
    x = 150,269.95

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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.