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Finding the Fourth Proportional to 520,414.56, 780,884.16 and 205,097.76

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Solution

The fourth proportional to 520,414.56, 780,884.16 and 205,097.76 is: 307,750.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,414.56 : 780,884.16 = 205,097.76 : x
  2. Step 2: Convert to fraction form
    520,414.56/780,884.16 = 205,097.76/x
  3. Step 3: Cross multiply
    520,414.56x = 780,884.16 × 205,097.76
  4. Step 4: Simplify right side
    520,414.56x = 160,157,592,035.48
  5. Step 5: Solve for x
    x = 160,157,592,035.48/520,414.56
  6. Step 6: Final answer
    x = 307,750.02

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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.