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Finding the Fourth Proportional to 340,296.78, 510,519.09 and 103,633.38

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Solution

The fourth proportional to 340,296.78, 510,519.09 and 103,633.38 is: 155,472.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,296.78 : 510,519.09 = 103,633.38 : x
  2. Step 2: Convert to fraction form
    340,296.78/510,519.09 = 103,633.38/x
  3. Step 3: Cross multiply
    340,296.78x = 510,519.09 × 103,633.38
  4. Step 4: Simplify right side
    340,296.78x = 52,906,818,851.22
  5. Step 5: Solve for x
    x = 52,906,818,851.22/340,296.78
  6. Step 6: Final answer
    x = 155,472.58

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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.