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Finding the Fourth Proportional to 316,999.20, 475,704.96 and 137,260.20

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Solution

The fourth proportional to 316,999.20, 475,704.96 and 137,260.20 is: 205,979.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,999.20 : 475,704.96 = 137,260.20 : x
  2. Step 2: Convert to fraction form
    316,999.20/475,704.96 = 137,260.20/x
  3. Step 3: Cross multiply
    316,999.20x = 475,704.96 × 137,260.20
  4. Step 4: Simplify right side
    316,999.20x = 65,295,357,950.59
  5. Step 5: Solve for x
    x = 65,295,357,950.59/316,999.20
  6. Step 6: Final answer
    x = 205,979.57

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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.