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Finding the Fourth Proportional to 420,536.89, 630,814.29 and 150,682.65

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Solution

The fourth proportional to 420,536.89, 630,814.29 and 150,682.65 is: 226,027.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,536.89 : 630,814.29 = 150,682.65 : x
  2. Step 2: Convert to fraction form
    420,536.89/630,814.29 = 150,682.65/x
  3. Step 3: Cross multiply
    420,536.89x = 630,814.29 × 150,682.65
  4. Step 4: Simplify right side
    420,536.89x = 95,052,768,875.07
  5. Step 5: Solve for x
    x = 95,052,768,875.07/420,536.89
  6. Step 6: Final answer
    x = 226,027.18

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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.