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Finding the Fourth Proportional to 410,529.31, 615,852.75 and 126,243.69

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Solution

The fourth proportional to 410,529.31, 615,852.75 and 126,243.69 is: 189,383.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,529.31 : 615,852.75 = 126,243.69 : x
  2. Step 2: Convert to fraction form
    410,529.31/615,852.75 = 126,243.69/x
  3. Step 3: Cross multiply
    410,529.31x = 615,852.75 × 126,243.69
  4. Step 4: Simplify right side
    410,529.31x = 77,747,522,487.52
  5. Step 5: Solve for x
    x = 77,747,522,487.52/410,529.31
  6. Step 6: Final answer
    x = 189,383.61

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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.