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Finding the Fourth Proportional to 420,774.44, 630,740.79 and 150,829.16

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Solution

The fourth proportional to 420,774.44, 630,740.79 and 150,829.16 is: 226,092.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,774.44 : 630,740.79 = 150,829.16 : x
  2. Step 2: Convert to fraction form
    420,774.44/630,740.79 = 150,829.16/x
  3. Step 3: Cross multiply
    420,774.44x = 630,740.79 × 150,829.16
  4. Step 4: Simplify right side
    420,774.44x = 95,134,100,379.73
  5. Step 5: Solve for x
    x = 95,134,100,379.73/420,774.44
  6. Step 6: Final answer
    x = 226,092.87

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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.