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Finding the Fourth Proportional to 400,134.78, 552,165.53 and 218,811.47

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Solution

The fourth proportional to 400,134.78, 552,165.53 and 218,811.47 is: 301,948.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,134.78 : 552,165.53 = 218,811.47 : x
  2. Step 2: Convert to fraction form
    400,134.78/552,165.53 = 218,811.47/x
  3. Step 3: Cross multiply
    400,134.78x = 552,165.53 × 218,811.47
  4. Step 4: Simplify right side
    400,134.78x = 120,820,147,447.74
  5. Step 5: Solve for x
    x = 120,820,147,447.74/400,134.78
  6. Step 6: Final answer
    x = 301,948.63

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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.