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Finding the Fourth Proportional to 378,343.17, 522,097.35 and 206,256.95

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Solution

The fourth proportional to 378,343.17, 522,097.35 and 206,256.95 is: 284,625.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,343.17 : 522,097.35 = 206,256.95 : x
  2. Step 2: Convert to fraction form
    378,343.17/522,097.35 = 206,256.95/x
  3. Step 3: Cross multiply
    378,343.17x = 522,097.35 × 206,256.95
  4. Step 4: Simplify right side
    378,343.17x = 107,686,205,588.00
  5. Step 5: Solve for x
    x = 107,686,205,588.00/378,343.17
  6. Step 6: Final answer
    x = 284,625.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.