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Finding the Fourth Proportional to 343,013.46, 514,706.07 and 143,351.40

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Solution

The fourth proportional to 343,013.46, 514,706.07 and 143,351.40 is: 215,104.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,013.46 : 514,706.07 = 143,351.40 : x
  2. Step 2: Convert to fraction form
    343,013.46/514,706.07 = 143,351.40/x
  3. Step 3: Cross multiply
    343,013.46x = 514,706.07 × 143,351.40
  4. Step 4: Simplify right side
    343,013.46x = 73,783,835,723.00
  5. Step 5: Solve for x
    x = 73,783,835,723.00/343,013.46
  6. Step 6: Final answer
    x = 215,104.78

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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.