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Finding the Fourth Proportional to 520,659.38, 780,690.17 and 204,944.06

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Solution

The fourth proportional to 520,659.38, 780,690.17 and 204,944.06 is: 307,298.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,659.38 : 780,690.17 = 204,944.06 : x
  2. Step 2: Convert to fraction form
    520,659.38/780,690.17 = 204,944.06/x
  3. Step 3: Cross multiply
    520,659.38x = 780,690.17 × 204,944.06
  4. Step 4: Simplify right side
    520,659.38x = 159,997,808,113.72
  5. Step 5: Solve for x
    x = 159,997,808,113.72/520,659.38
  6. Step 6: Final answer
    x = 307,298.43

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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.