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Finding the Fourth Proportional to 347,272.10, 520,908.15 and 213,719.30

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Solution

The fourth proportional to 347,272.10, 520,908.15 and 213,719.30 is: 320,578.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,272.10 : 520,908.15 = 213,719.30 : x
  2. Step 2: Convert to fraction form
    347,272.10/520,908.15 = 213,719.30/x
  3. Step 3: Cross multiply
    347,272.10x = 520,908.15 × 213,719.30
  4. Step 4: Simplify right side
    347,272.10x = 111,328,125,182.30
  5. Step 5: Solve for x
    x = 111,328,125,182.30/347,272.10
  6. Step 6: Final answer
    x = 320,578.95

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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.