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Finding the Fourth Proportional to 378,726.78, 522,832.35 and 235,532.96

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Solution

The fourth proportional to 378,726.78, 522,832.35 and 235,532.96 is: 325,153.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,726.78 : 522,832.35 = 235,532.96 : x
  2. Step 2: Convert to fraction form
    378,726.78/522,832.35 = 235,532.96/x
  3. Step 3: Cross multiply
    378,726.78x = 522,832.35 × 235,532.96
  4. Step 4: Simplify right side
    378,726.78x = 123,144,248,365.09
  5. Step 5: Solve for x
    x = 123,144,248,365.09/378,726.78
  6. Step 6: Final answer
    x = 325,153.26

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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.