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Finding the Fourth Proportional to 378,727.64, 522,833.54 and 235,533.82

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Solution

The fourth proportional to 378,727.64, 522,833.54 and 235,533.82 is: 325,154.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,727.64 : 522,833.54 = 235,533.82 : x
  2. Step 2: Convert to fraction form
    378,727.64/522,833.54 = 235,533.82/x
  3. Step 3: Cross multiply
    378,727.64x = 522,833.54 × 235,533.82
  4. Step 4: Simplify right side
    378,727.64x = 123,144,980,900.32
  5. Step 5: Solve for x
    x = 123,144,980,900.32/378,727.64
  6. Step 6: Final answer
    x = 325,154.46

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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.