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Finding the Fourth Proportional to 347,815.20, 520,945.20 and 268,672.80

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Solution

The fourth proportional to 347,815.20, 520,945.20 and 268,672.80 is: 402,408.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,815.20 : 520,945.20 = 268,672.80 : x
  2. Step 2: Convert to fraction form
    347,815.20/520,945.20 = 268,672.80/x
  3. Step 3: Cross multiply
    347,815.20x = 520,945.20 × 268,672.80
  4. Step 4: Simplify right side
    347,815.20x = 139,963,805,530.56
  5. Step 5: Solve for x
    x = 139,963,805,530.56/347,815.20
  6. Step 6: Final answer
    x = 402,408.54

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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.