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Finding the Fourth Proportional to 400,882.56, 553,211.68 and 219,592.96

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Solution

The fourth proportional to 400,882.56, 553,211.68 and 219,592.96 is: 303,034.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,882.56 : 553,211.68 = 219,592.96 : x
  2. Step 2: Convert to fraction form
    400,882.56/553,211.68 = 219,592.96/x
  3. Step 3: Cross multiply
    400,882.56x = 553,211.68 × 219,592.96
  4. Step 4: Simplify right side
    400,882.56x = 121,481,390,317.77
  5. Step 5: Solve for x
    x = 121,481,390,317.77/400,882.56
  6. Step 6: Final answer
    x = 303,034.86

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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.