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Finding the Fourth Proportional to 307,538.70, 461,394.45 and 149,772.30

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Solution

The fourth proportional to 307,538.70, 461,394.45 and 149,772.30 is: 224,700.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,538.70 : 461,394.45 = 149,772.30 : x
  2. Step 2: Convert to fraction form
    307,538.70/461,394.45 = 149,772.30/x
  3. Step 3: Cross multiply
    307,538.70x = 461,394.45 × 149,772.30
  4. Step 4: Simplify right side
    307,538.70x = 69,104,107,983.74
  5. Step 5: Solve for x
    x = 69,104,107,983.74/307,538.70
  6. Step 6: Final answer
    x = 224,700.53

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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.