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Finding the Fourth Proportional to 401,273.54, 553,742.64 and 217,508.16

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Solution

The fourth proportional to 401,273.54, 553,742.64 and 217,508.16 is: 300,153.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,273.54 : 553,742.64 = 217,508.16 : x
  2. Step 2: Convert to fraction form
    401,273.54/553,742.64 = 217,508.16/x
  3. Step 3: Cross multiply
    401,273.54x = 553,742.64 × 217,508.16
  4. Step 4: Simplify right side
    401,273.54x = 120,443,542,739.94
  5. Step 5: Solve for x
    x = 120,443,542,739.94/401,273.54
  6. Step 6: Final answer
    x = 300,153.21

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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.