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Finding the Fourth Proportional to 347,462.10, 521,193.15 and 137,072.70

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Solution

The fourth proportional to 347,462.10, 521,193.15 and 137,072.70 is: 205,609.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,462.10 : 521,193.15 = 137,072.70 : x
  2. Step 2: Convert to fraction form
    347,462.10/521,193.15 = 137,072.70/x
  3. Step 3: Cross multiply
    347,462.10x = 521,193.15 × 137,072.70
  4. Step 4: Simplify right side
    347,462.10x = 71,441,352,292.01
  5. Step 5: Solve for x
    x = 71,441,352,292.01/347,462.10
  6. Step 6: Final answer
    x = 205,609.05

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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.