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Finding the Fourth Proportional to 400,137.48, 552,167.10 and 218,813.40

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Solution

The fourth proportional to 400,137.48, 552,167.10 and 218,813.40 is: 301,950.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,137.48 : 552,167.10 = 218,813.40 : x
  2. Step 2: Convert to fraction form
    400,137.48/552,167.10 = 218,813.40/x
  3. Step 3: Cross multiply
    400,137.48x = 552,167.10 × 218,813.40
  4. Step 4: Simplify right side
    400,137.48x = 120,821,560,519.14
  5. Step 5: Solve for x
    x = 120,821,560,519.14/400,137.48
  6. Step 6: Final answer
    x = 301,950.12

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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.