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Finding the Fourth Proportional to 400,682.59, 552,942.12 and 219,406.01

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Solution

The fourth proportional to 400,682.59, 552,942.12 and 219,406.01 is: 302,780.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,682.59 : 552,942.12 = 219,406.01 : x
  2. Step 2: Convert to fraction form
    400,682.59/552,942.12 = 219,406.01/x
  3. Step 3: Cross multiply
    400,682.59x = 552,942.12 × 219,406.01
  4. Step 4: Simplify right side
    400,682.59x = 121,318,822,927.79
  5. Step 5: Solve for x
    x = 121,318,822,927.79/400,682.59
  6. Step 6: Final answer
    x = 302,780.37

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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.