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Finding the Fourth Proportional to 667,216.80, 999,464.40 and 413,719.20

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Solution

The fourth proportional to 667,216.80, 999,464.40 and 413,719.20 is: 619,735.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,216.80 : 999,464.40 = 413,719.20 : x
  2. Step 2: Convert to fraction form
    667,216.80/999,464.40 = 413,719.20/x
  3. Step 3: Cross multiply
    667,216.80x = 999,464.40 × 413,719.20
  4. Step 4: Simplify right side
    667,216.80x = 413,497,611,996.48
  5. Step 5: Solve for x
    x = 413,497,611,996.48/667,216.80
  6. Step 6: Final answer
    x = 619,735.01

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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.