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Finding the Fourth Proportional to 214,960.46, 296,366.51 and 138,342.56

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Solution

The fourth proportional to 214,960.46, 296,366.51 and 138,342.56 is: 190,733.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,960.46 : 296,366.51 = 138,342.56 : x
  2. Step 2: Convert to fraction form
    214,960.46/296,366.51 = 138,342.56/x
  3. Step 3: Cross multiply
    214,960.46x = 296,366.51 × 138,342.56
  4. Step 4: Simplify right side
    214,960.46x = 41,000,100,555.69
  5. Step 5: Solve for x
    x = 41,000,100,555.69/214,960.46
  6. Step 6: Final answer
    x = 190,733.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.