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Finding the Fourth Proportional to 307,722.78, 461,234.25 and 130,118.94

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Solution

The fourth proportional to 307,722.78, 461,234.25 and 130,118.94 is: 195,030.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,722.78 : 461,234.25 = 130,118.94 : x
  2. Step 2: Convert to fraction form
    307,722.78/461,234.25 = 130,118.94/x
  3. Step 3: Cross multiply
    307,722.78x = 461,234.25 × 130,118.94
  4. Step 4: Simplify right side
    307,722.78x = 60,015,311,701.70
  5. Step 5: Solve for x
    x = 60,015,311,701.70/307,722.78
  6. Step 6: Final answer
    x = 195,030.45

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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.