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Finding the Fourth Proportional to 347,319.20, 520,201.20 and 285,111.20

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Solution

The fourth proportional to 347,319.20, 520,201.20 and 285,111.20 is: 427,028.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,319.20 : 520,201.20 = 285,111.20 : x
  2. Step 2: Convert to fraction form
    347,319.20/520,201.20 = 285,111.20/x
  3. Step 3: Cross multiply
    347,319.20x = 520,201.20 × 285,111.20
  4. Step 4: Simplify right side
    347,319.20x = 148,315,188,373.44
  5. Step 5: Solve for x
    x = 148,315,188,373.44/347,319.20
  6. Step 6: Final answer
    x = 427,028.48

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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.