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Finding the Fourth Proportional to 307,660.66, 461,539.78 and 130,169

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Solution

The fourth proportional to 307,660.66, 461,539.78 and 130,169 is: 195,274.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,660.66 : 461,539.78 = 130,169 : x
  2. Step 2: Convert to fraction form
    307,660.66/461,539.78 = 130,169/x
  3. Step 3: Cross multiply
    307,660.66x = 461,539.78 × 130,169
  4. Step 4: Simplify right side
    307,660.66x = 60,078,171,622.82
  5. Step 5: Solve for x
    x = 60,078,171,622.82/307,660.66
  6. Step 6: Final answer
    x = 195,274.14

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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.