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Finding the Fourth Proportional to 378,725.64, 522,830.78 and 235,531.82

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Solution

The fourth proportional to 378,725.64, 522,830.78 and 235,531.82 is: 325,151.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,725.64 : 522,830.78 = 235,531.82 : x
  2. Step 2: Convert to fraction form
    378,725.64/522,830.78 = 235,531.82/x
  3. Step 3: Cross multiply
    378,725.64x = 522,830.78 × 235,531.82
  4. Step 4: Simplify right side
    378,725.64x = 123,143,281,373.61
  5. Step 5: Solve for x
    x = 123,143,281,373.61/378,725.64
  6. Step 6: Final answer
    x = 325,151.69

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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.