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Finding the Fourth Proportional to 613,414.36, 919,375.47 and 328,404.52

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Solution

The fourth proportional to 613,414.36, 919,375.47 and 328,404.52 is: 492,207.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,414.36 : 919,375.47 = 328,404.52 : x
  2. Step 2: Convert to fraction form
    613,414.36/919,375.47 = 328,404.52/x
  3. Step 3: Cross multiply
    613,414.36x = 919,375.47 × 328,404.52
  4. Step 4: Simplify right side
    613,414.36x = 301,927,059,925.12
  5. Step 5: Solve for x
    x = 301,927,059,925.12/613,414.36
  6. Step 6: Final answer
    x = 492,207.36

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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.