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Finding the Fourth Proportional to 214,765.80, 296,279.58 and 138,257.46

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Solution

The fourth proportional to 214,765.80, 296,279.58 and 138,257.46 is: 190,732.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,765.80 : 296,279.58 = 138,257.46 : x
  2. Step 2: Convert to fraction form
    214,765.80/296,279.58 = 138,257.46/x
  3. Step 3: Cross multiply
    214,765.80x = 296,279.58 × 138,257.46
  4. Step 4: Simplify right side
    214,765.80x = 40,962,862,180.67
  5. Step 5: Solve for x
    x = 40,962,862,180.67/214,765.80
  6. Step 6: Final answer
    x = 190,732.71

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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.