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Finding the Fourth Proportional to 316,955.22, 475,447.41 and 129,835.50

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Solution

The fourth proportional to 316,955.22, 475,447.41 and 129,835.50 is: 194,759.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,955.22 : 475,447.41 = 129,835.50 : x
  2. Step 2: Convert to fraction form
    316,955.22/475,447.41 = 129,835.50/x
  3. Step 3: Cross multiply
    316,955.22x = 475,447.41 × 129,835.50
  4. Step 4: Simplify right side
    316,955.22x = 61,729,952,201.06
  5. Step 5: Solve for x
    x = 61,729,952,201.06/316,955.22
  6. Step 6: Final answer
    x = 194,759.22

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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.