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Finding the Fourth Proportional to 449,447.12, 673,909.86 and 212,787.80

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Solution

The fourth proportional to 449,447.12, 673,909.86 and 212,787.80 is: 319,058.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,447.12 : 673,909.86 = 212,787.80 : x
  2. Step 2: Convert to fraction form
    449,447.12/673,909.86 = 212,787.80/x
  3. Step 3: Cross multiply
    449,447.12x = 673,909.86 × 212,787.80
  4. Step 4: Simplify right side
    449,447.12x = 143,399,796,507.71
  5. Step 5: Solve for x
    x = 143,399,796,507.71/449,447.12
  6. Step 6: Final answer
    x = 319,058.22

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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.