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Finding the Fourth Proportional to 437,647.80, 656,471.70 and 295,930.20

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Solution

The fourth proportional to 437,647.80, 656,471.70 and 295,930.20 is: 443,895.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,647.80 : 656,471.70 = 295,930.20 : x
  2. Step 2: Convert to fraction form
    437,647.80/656,471.70 = 295,930.20/x
  3. Step 3: Cross multiply
    437,647.80x = 656,471.70 × 295,930.20
  4. Step 4: Simplify right side
    437,647.80x = 194,269,801,475.34
  5. Step 5: Solve for x
    x = 194,269,801,475.34/437,647.80
  6. Step 6: Final answer
    x = 443,895.30

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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.