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Finding the Fourth Proportional to 520,269, 780,044.94 and 204,762.12

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Solution

The fourth proportional to 520,269, 780,044.94 and 204,762.12 is: 307,002.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,269 : 780,044.94 = 204,762.12 : x
  2. Step 2: Convert to fraction form
    520,269/780,044.94 = 204,762.12/x
  3. Step 3: Cross multiply
    520,269x = 780,044.94 × 204,762.12
  4. Step 4: Simplify right side
    520,269x = 159,723,655,609.67
  5. Step 5: Solve for x
    x = 159,723,655,609.67/520,269
  6. Step 6: Final answer
    x = 307,002.06

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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.