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Finding the Fourth Proportional to 347,874.60, 521,120.70 and 189,820.20

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Solution

The fourth proportional to 347,874.60, 521,120.70 and 189,820.20 is: 284,353.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,874.60 : 521,120.70 = 189,820.20 : x
  2. Step 2: Convert to fraction form
    347,874.60/521,120.70 = 189,820.20/x
  3. Step 3: Cross multiply
    347,874.60x = 521,120.70 × 189,820.20
  4. Step 4: Simplify right side
    347,874.60x = 98,919,235,498.14
  5. Step 5: Solve for x
    x = 98,919,235,498.14/347,874.60
  6. Step 6: Final answer
    x = 284,353.14

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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.