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Finding the Fourth Proportional to 449,651.20, 674,488.32 and 212,938.24

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Solution

The fourth proportional to 449,651.20, 674,488.32 and 212,938.24 is: 319,412.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,651.20 : 674,488.32 = 212,938.24 : x
  2. Step 2: Convert to fraction form
    449,651.20/674,488.32 = 212,938.24/x
  3. Step 3: Cross multiply
    449,651.20x = 674,488.32 × 212,938.24
  4. Step 4: Simplify right side
    449,651.20x = 143,624,355,761.36
  5. Step 5: Solve for x
    x = 143,624,355,761.36/449,651.20
  6. Step 6: Final answer
    x = 319,412.82

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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.