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Finding the Fourth Proportional to 307,730.78, 461,246.24 and 130,126.94

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Solution

The fourth proportional to 307,730.78, 461,246.24 and 130,126.94 is: 195,042.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,730.78 : 461,246.24 = 130,126.94 : x
  2. Step 2: Convert to fraction form
    307,730.78/461,246.24 = 130,126.94/x
  3. Step 3: Cross multiply
    307,730.78x = 461,246.24 × 130,126.94
  4. Step 4: Simplify right side
    307,730.78x = 60,020,561,797.71
  5. Step 5: Solve for x
    x = 60,020,561,797.71/307,730.78
  6. Step 6: Final answer
    x = 195,042.44

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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.