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Finding the Fourth Proportional to 862,353.78, 1,293,054.54 and 400,227.90

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Solution

The fourth proportional to 862,353.78, 1,293,054.54 and 400,227.90 is: 600,120.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,353.78 : 1,293,054.54 = 400,227.90 : x
  2. Step 2: Convert to fraction form
    862,353.78/1,293,054.54 = 400,227.90/x
  3. Step 3: Cross multiply
    862,353.78x = 1,293,054.54 × 400,227.90
  4. Step 4: Simplify right side
    862,353.78x = 517,516,503,129.67
  5. Step 5: Solve for x
    x = 517,516,503,129.67/862,353.78
  6. Step 6: Final answer
    x = 600,120.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.