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Finding the Fourth Proportional to 414,079.20, 620,675.90 and 189,102.50

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Solution

The fourth proportional to 414,079.20, 620,675.90 and 189,102.50 is: 283,451.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,079.20 : 620,675.90 = 189,102.50 : x
  2. Step 2: Convert to fraction form
    414,079.20/620,675.90 = 189,102.50/x
  3. Step 3: Cross multiply
    414,079.20x = 620,675.90 × 189,102.50
  4. Step 4: Simplify right side
    414,079.20x = 117,371,364,379.75
  5. Step 5: Solve for x
    x = 117,371,364,379.75/414,079.20
  6. Step 6: Final answer
    x = 283,451.49

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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.