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Finding the Fourth Proportional to 272,169.64, 407,380.98 and 145,493.20

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Solution

The fourth proportional to 272,169.64, 407,380.98 and 145,493.20 is: 217,772.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,169.64 : 407,380.98 = 145,493.20 : x
  2. Step 2: Convert to fraction form
    272,169.64/407,380.98 = 145,493.20/x
  3. Step 3: Cross multiply
    272,169.64x = 407,380.98 × 145,493.20
  4. Step 4: Simplify right side
    272,169.64x = 59,271,162,399.34
  5. Step 5: Solve for x
    x = 59,271,162,399.34/272,169.64
  6. Step 6: Final answer
    x = 217,772.87

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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.