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Finding the Fourth Proportional to 347,405.10, 521,107.65 and 137,015.70

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Solution

The fourth proportional to 347,405.10, 521,107.65 and 137,015.70 is: 205,523.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,405.10 : 521,107.65 = 137,015.70 : x
  2. Step 2: Convert to fraction form
    347,405.10/521,107.65 = 137,015.70/x
  3. Step 3: Cross multiply
    347,405.10x = 521,107.65 × 137,015.70
  4. Step 4: Simplify right side
    347,405.10x = 71,399,929,440.11
  5. Step 5: Solve for x
    x = 71,399,929,440.11/347,405.10
  6. Step 6: Final answer
    x = 205,523.55

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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.