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Finding the Fourth Proportional to 347,046.20, 520,083.30 and 276,090.20

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Solution

The fourth proportional to 347,046.20, 520,083.30 and 276,090.20 is: 413,748.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,046.20 : 520,083.30 = 276,090.20 : x
  2. Step 2: Convert to fraction form
    347,046.20/520,083.30 = 276,090.20/x
  3. Step 3: Cross multiply
    347,046.20x = 520,083.30 × 276,090.20
  4. Step 4: Simplify right side
    347,046.20x = 143,589,902,313.66
  5. Step 5: Solve for x
    x = 143,589,902,313.66/347,046.20
  6. Step 6: Final answer
    x = 413,748.67

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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.