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Finding the Fourth Proportional to 347,115, 520,473.24 and 136,638.12

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Solution

The fourth proportional to 347,115, 520,473.24 and 136,638.12 is: 204,878.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,115 : 520,473.24 = 136,638.12 : x
  2. Step 2: Convert to fraction form
    347,115/520,473.24 = 136,638.12/x
  3. Step 3: Cross multiply
    347,115x = 520,473.24 × 136,638.12
  4. Step 4: Simplify right side
    347,115x = 71,116,485,023.91
  5. Step 5: Solve for x
    x = 71,116,485,023.91/347,115
  6. Step 6: Final answer
    x = 204,878.74

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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.