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Finding the Fourth Proportional to 680,562, 939,175.56 and 378,827.28

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Solution

The fourth proportional to 680,562, 939,175.56 and 378,827.28 is: 522,781.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,562 : 939,175.56 = 378,827.28 : x
  2. Step 2: Convert to fraction form
    680,562/939,175.56 = 378,827.28/x
  3. Step 3: Cross multiply
    680,562x = 939,175.56 × 378,827.28
  4. Step 4: Simplify right side
    680,562x = 355,785,322,837.28
  5. Step 5: Solve for x
    x = 355,785,322,837.28/680,562
  6. Step 6: Final answer
    x = 522,781.65

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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.