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Finding the Fourth Proportional to 307,419.70, 461,194.35 and 129,835.30

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Solution

The fourth proportional to 307,419.70, 461,194.35 and 129,835.30 is: 194,780.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,419.70 : 461,194.35 = 129,835.30 : x
  2. Step 2: Convert to fraction form
    307,419.70/461,194.35 = 129,835.30/x
  3. Step 3: Cross multiply
    307,419.70x = 461,194.35 × 129,835.30
  4. Step 4: Simplify right side
    307,419.70x = 59,879,306,790.56
  5. Step 5: Solve for x
    x = 59,879,306,790.56/307,419.70
  6. Step 6: Final answer
    x = 194,780.32

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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.