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Finding the Fourth Proportional to 347,657.20, 520,708.20 and 285,449.20

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Solution

The fourth proportional to 347,657.20, 520,708.20 and 285,449.20 is: 427,535.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,657.20 : 520,708.20 = 285,449.20 : x
  2. Step 2: Convert to fraction form
    347,657.20/520,708.20 = 285,449.20/x
  3. Step 3: Cross multiply
    347,657.20x = 520,708.20 × 285,449.20
  4. Step 4: Simplify right side
    347,657.20x = 148,635,739,123.44
  5. Step 5: Solve for x
    x = 148,635,739,123.44/347,657.20
  6. Step 6: Final answer
    x = 427,535.34

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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.