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Finding the Fourth Proportional to 400,500.96, 552,689.31 and 216,739.38

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Solution

The fourth proportional to 400,500.96, 552,689.31 and 216,739.38 is: 299,099.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,500.96 : 552,689.31 = 216,739.38 : x
  2. Step 2: Convert to fraction form
    400,500.96/552,689.31 = 216,739.38/x
  3. Step 3: Cross multiply
    400,500.96x = 552,689.31 × 216,739.38
  4. Step 4: Simplify right side
    400,500.96x = 119,789,538,382.03
  5. Step 5: Solve for x
    x = 119,789,538,382.03/400,500.96
  6. Step 6: Final answer
    x = 299,099.25

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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.