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Finding the Fourth Proportional to 667,892.82, 921,786.57 and 413,326.02

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Solution

The fourth proportional to 667,892.82, 921,786.57 and 413,326.02 is: 570,448.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,892.82 : 921,786.57 = 413,326.02 : x
  2. Step 2: Convert to fraction form
    667,892.82/921,786.57 = 413,326.02/x
  3. Step 3: Cross multiply
    667,892.82x = 921,786.57 × 413,326.02
  4. Step 4: Simplify right side
    667,892.82x = 380,998,374,267.55
  5. Step 5: Solve for x
    x = 380,998,374,267.55/667,892.82
  6. Step 6: Final answer
    x = 570,448.38

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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.