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Finding the Fourth Proportional to 307,973.60, 462,209.17 and 130,605.06

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Solution

The fourth proportional to 307,973.60, 462,209.17 and 130,605.06 is: 196,013.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,973.60 : 462,209.17 = 130,605.06 : x
  2. Step 2: Convert to fraction form
    307,973.60/462,209.17 = 130,605.06/x
  3. Step 3: Cross multiply
    307,973.60x = 462,209.17 × 130,605.06
  4. Step 4: Simplify right side
    307,973.60x = 60,366,856,380.40
  5. Step 5: Solve for x
    x = 60,366,856,380.40/307,973.60
  6. Step 6: Final answer
    x = 196,013.09

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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.