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Finding the Fourth Proportional to 354,422.20, 531,449.70 and 105,071.80

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Solution

The fourth proportional to 354,422.20, 531,449.70 and 105,071.80 is: 157,553.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,422.20 : 531,449.70 = 105,071.80 : x
  2. Step 2: Convert to fraction form
    354,422.20/531,449.70 = 105,071.80/x
  3. Step 3: Cross multiply
    354,422.20x = 531,449.70 × 105,071.80
  4. Step 4: Simplify right side
    354,422.20x = 55,840,376,588.46
  5. Step 5: Solve for x
    x = 55,840,376,588.46/354,422.20
  6. Step 6: Final answer
    x = 157,553.27

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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.