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Finding the Fourth Proportional to 411,499.94, 616,917.74 and 378,284.87

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Solution

The fourth proportional to 411,499.94, 616,917.74 and 378,284.87 is: 567,121.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,499.94 : 616,917.74 = 378,284.87 : x
  2. Step 2: Convert to fraction form
    411,499.94/616,917.74 = 378,284.87/x
  3. Step 3: Cross multiply
    411,499.94x = 616,917.74 × 378,284.87
  4. Step 4: Simplify right side
    411,499.94x = 233,370,646,727.46
  5. Step 5: Solve for x
    x = 233,370,646,727.46/411,499.94
  6. Step 6: Final answer
    x = 567,121.95

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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.