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Finding the Fourth Proportional to 347,039.20, 520,072.80 and 276,083.20

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Solution

The fourth proportional to 347,039.20, 520,072.80 and 276,083.20 is: 413,738.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,039.20 : 520,072.80 = 276,083.20 : x
  2. Step 2: Convert to fraction form
    347,039.20/520,072.80 = 276,083.20/x
  3. Step 3: Cross multiply
    347,039.20x = 520,072.80 × 276,083.20
  4. Step 4: Simplify right side
    347,039.20x = 143,583,362,856.96
  5. Step 5: Solve for x
    x = 143,583,362,856.96/347,039.20
  6. Step 6: Final answer
    x = 413,738.17

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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.