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Finding the Fourth Proportional to 342,864.50, 514,378.86 and 143,073.74

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Solution

The fourth proportional to 342,864.50, 514,378.86 and 143,073.74 is: 214,644.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,864.50 : 514,378.86 = 143,073.74 : x
  2. Step 2: Convert to fraction form
    342,864.50/514,378.86 = 143,073.74/x
  3. Step 3: Cross multiply
    342,864.50x = 514,378.86 × 143,073.74
  4. Step 4: Simplify right side
    342,864.50x = 73,594,108,026.56
  5. Step 5: Solve for x
    x = 73,594,108,026.56/342,864.50
  6. Step 6: Final answer
    x = 214,644.88

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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.