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Finding the Fourth Proportional to 203,438.70, 304,866.45 and 149,711.40

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Solution

The fourth proportional to 203,438.70, 304,866.45 and 149,711.40 is: 224,352.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,438.70 : 304,866.45 = 149,711.40 : x
  2. Step 2: Convert to fraction form
    203,438.70/304,866.45 = 149,711.40/x
  3. Step 3: Cross multiply
    203,438.70x = 304,866.45 × 149,711.40
  4. Step 4: Simplify right side
    203,438.70x = 45,641,983,042.53
  5. Step 5: Solve for x
    x = 45,641,983,042.53/203,438.70
  6. Step 6: Final answer
    x = 224,352.51

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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.