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Finding the Fourth Proportional to 203,412.20, 304,826.70 and 149,684.90

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Solution

The fourth proportional to 203,412.20, 304,826.70 and 149,684.90 is: 224,312.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,412.20 : 304,826.70 = 149,684.90 : x
  2. Step 2: Convert to fraction form
    203,412.20/304,826.70 = 149,684.90/x
  3. Step 3: Cross multiply
    203,412.20x = 304,826.70 × 149,684.90
  4. Step 4: Simplify right side
    203,412.20x = 45,627,954,106.83
  5. Step 5: Solve for x
    x = 45,627,954,106.83/203,412.20
  6. Step 6: Final answer
    x = 224,312.77

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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.