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Finding the Fourth Proportional to 378,665.72, 522,531.79 and 213,117.84

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Solution

The fourth proportional to 378,665.72, 522,531.79 and 213,117.84 is: 294,087.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,665.72 : 522,531.79 = 213,117.84 : x
  2. Step 2: Convert to fraction form
    378,665.72/522,531.79 = 213,117.84/x
  3. Step 3: Cross multiply
    378,665.72x = 522,531.79 × 213,117.84
  4. Step 4: Simplify right side
    378,665.72x = 111,360,845,883.34
  5. Step 5: Solve for x
    x = 111,360,845,883.34/378,665.72
  6. Step 6: Final answer
    x = 294,087.48

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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.