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Finding the Fourth Proportional to 400,874.48, 553,200.72 and 219,584.96

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Solution

The fourth proportional to 400,874.48, 553,200.72 and 219,584.96 is: 303,023.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,874.48 : 553,200.72 = 219,584.96 : x
  2. Step 2: Convert to fraction form
    400,874.48/553,200.72 = 219,584.96/x
  3. Step 3: Cross multiply
    400,874.48x = 553,200.72 × 219,584.96
  4. Step 4: Simplify right side
    400,874.48x = 121,474,557,973.17
  5. Step 5: Solve for x
    x = 121,474,557,973.17/400,874.48
  6. Step 6: Final answer
    x = 303,023.92

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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.