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Finding the Fourth Proportional to 415,015.20, 622,595.70 and 148,930.20

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Solution

The fourth proportional to 415,015.20, 622,595.70 and 148,930.20 is: 223,421.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,015.20 : 622,595.70 = 148,930.20 : x
  2. Step 2: Convert to fraction form
    415,015.20/622,595.70 = 148,930.20/x
  3. Step 3: Cross multiply
    415,015.20x = 622,595.70 × 148,930.20
  4. Step 4: Simplify right side
    415,015.20x = 92,723,302,120.14
  5. Step 5: Solve for x
    x = 92,723,302,120.14/415,015.20
  6. Step 6: Final answer
    x = 223,421.46

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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.