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Finding the Fourth Proportional to 520,951.20, 780,989.40 and 271,633.20

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Solution

The fourth proportional to 520,951.20, 780,989.40 and 271,633.20 is: 407,221.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,951.20 : 780,989.40 = 271,633.20 : x
  2. Step 2: Convert to fraction form
    520,951.20/780,989.40 = 271,633.20/x
  3. Step 3: Cross multiply
    520,951.20x = 780,989.40 × 271,633.20
  4. Step 4: Simplify right side
    520,951.20x = 212,142,649,888.08
  5. Step 5: Solve for x
    x = 212,142,649,888.08/520,951.20
  6. Step 6: Final answer
    x = 407,221.73

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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.