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Finding the Fourth Proportional to 398,427.20, 595,912.80 and 356,609.60

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Solution

The fourth proportional to 398,427.20, 595,912.80 and 356,609.60 is: 533,367.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,427.20 : 595,912.80 = 356,609.60 : x
  2. Step 2: Convert to fraction form
    398,427.20/595,912.80 = 356,609.60/x
  3. Step 3: Cross multiply
    398,427.20x = 595,912.80 × 356,609.60
  4. Step 4: Simplify right side
    398,427.20x = 212,508,225,242.88
  5. Step 5: Solve for x
    x = 212,508,225,242.88/398,427.20
  6. Step 6: Final answer
    x = 533,367.77

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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.