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Finding the Fourth Proportional to 409,421.82, 613,716.67 and 169,666.16

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Solution

The fourth proportional to 409,421.82, 613,716.67 and 169,666.16 is: 254,326.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,421.82 : 613,716.67 = 169,666.16 : x
  2. Step 2: Convert to fraction form
    409,421.82/613,716.67 = 169,666.16/x
  3. Step 3: Cross multiply
    409,421.82x = 613,716.67 × 169,666.16
  4. Step 4: Simplify right side
    409,421.82x = 104,126,950,615.62
  5. Step 5: Solve for x
    x = 104,126,950,615.62/409,421.82
  6. Step 6: Final answer
    x = 254,326.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.