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Finding the Fourth Proportional to 520,057.10, 780,172.05 and 204,524.30

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Solution

The fourth proportional to 520,057.10, 780,172.05 and 204,524.30 is: 306,820.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,057.10 : 780,172.05 = 204,524.30 : x
  2. Step 2: Convert to fraction form
    520,057.10/780,172.05 = 204,524.30/x
  3. Step 3: Cross multiply
    520,057.10x = 780,172.05 × 204,524.30
  4. Step 4: Simplify right side
    520,057.10x = 159,564,142,405.82
  5. Step 5: Solve for x
    x = 159,564,142,405.82/520,057.10
  6. Step 6: Final answer
    x = 306,820.43

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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.