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Finding the Fourth Proportional to 307,958.40, 462,110.40 and 130,435.20

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Solution

The fourth proportional to 307,958.40, 462,110.40 and 130,435.20 is: 195,725.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,958.40 : 462,110.40 = 130,435.20 : x
  2. Step 2: Convert to fraction form
    307,958.40/462,110.40 = 130,435.20/x
  3. Step 3: Cross multiply
    307,958.40x = 462,110.40 × 130,435.20
  4. Step 4: Simplify right side
    307,958.40x = 60,275,462,446.08
  5. Step 5: Solve for x
    x = 60,275,462,446.08/307,958.40
  6. Step 6: Final answer
    x = 195,725.99

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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.