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Finding the Fourth Proportional to 520,371.54, 780,852.56 and 205,049.88

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Solution

The fourth proportional to 520,371.54, 780,852.56 and 205,049.88 is: 307,691.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,371.54 : 780,852.56 = 205,049.88 : x
  2. Step 2: Convert to fraction form
    520,371.54/780,852.56 = 205,049.88/x
  3. Step 3: Cross multiply
    520,371.54x = 780,852.56 × 205,049.88
  4. Step 4: Simplify right side
    520,371.54x = 160,113,723,725.69
  5. Step 5: Solve for x
    x = 160,113,723,725.69/520,371.54
  6. Step 6: Final answer
    x = 307,691.16

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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.