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Finding the Fourth Proportional to 520,664.50, 780,697.86 and 204,949.18

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Solution

The fourth proportional to 520,664.50, 780,697.86 and 204,949.18 is: 307,306.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,664.50 : 780,697.86 = 204,949.18 : x
  2. Step 2: Convert to fraction form
    520,664.50/780,697.86 = 204,949.18/x
  3. Step 3: Cross multiply
    520,664.50x = 780,697.86 × 204,949.18
  4. Step 4: Simplify right side
    520,664.50x = 160,003,386,234.76
  5. Step 5: Solve for x
    x = 160,003,386,234.76/520,664.50
  6. Step 6: Final answer
    x = 307,306.12

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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.