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Finding the Fourth Proportional to 378,521.69, 522,534.85 and 233,353.42

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Solution

The fourth proportional to 378,521.69, 522,534.85 and 233,353.42 is: 322,135.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,521.69 : 522,534.85 = 233,353.42 : x
  2. Step 2: Convert to fraction form
    378,521.69/522,534.85 = 233,353.42/x
  3. Step 3: Cross multiply
    378,521.69x = 522,534.85 × 233,353.42
  4. Step 4: Simplify right side
    378,521.69x = 121,935,293,593.73
  5. Step 5: Solve for x
    x = 121,935,293,593.73/378,521.69
  6. Step 6: Final answer
    x = 322,135.55

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1.5x scale

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.