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Finding the Fourth Proportional to 347,832.10, 521,748.15 and 214,279.30

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Solution

The fourth proportional to 347,832.10, 521,748.15 and 214,279.30 is: 321,418.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,832.10 : 521,748.15 = 214,279.30 : x
  2. Step 2: Convert to fraction form
    347,832.10/521,748.15 = 214,279.30/x
  3. Step 3: Cross multiply
    347,832.10x = 521,748.15 × 214,279.30
  4. Step 4: Simplify right side
    347,832.10x = 111,799,828,358.30
  5. Step 5: Solve for x
    x = 111,799,828,358.30/347,832.10
  6. Step 6: Final answer
    x = 321,418.95

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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.