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Finding the Fourth Proportional to 520,832.34, 780,440.49 and 361,219.68

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Solution

The fourth proportional to 520,832.34, 780,440.49 and 361,219.68 is: 541,269.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,832.34 : 780,440.49 = 361,219.68 : x
  2. Step 2: Convert to fraction form
    520,832.34/780,440.49 = 361,219.68/x
  3. Step 3: Cross multiply
    520,832.34x = 780,440.49 × 361,219.68
  4. Step 4: Simplify right side
    520,832.34x = 281,910,464,056.84
  5. Step 5: Solve for x
    x = 281,910,464,056.84/520,832.34
  6. Step 6: Final answer
    x = 541,269.12

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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.