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Finding the Fourth Proportional to 420,534.89, 630,811.29 and 150,680.65

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Solution

The fourth proportional to 420,534.89, 630,811.29 and 150,680.65 is: 226,024.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,534.89 : 630,811.29 = 150,680.65 : x
  2. Step 2: Convert to fraction form
    420,534.89/630,811.29 = 150,680.65/x
  3. Step 3: Cross multiply
    420,534.89x = 630,811.29 × 150,680.65
  4. Step 4: Simplify right side
    420,534.89x = 95,051,056,781.57
  5. Step 5: Solve for x
    x = 95,051,056,781.57/420,534.89
  6. Step 6: Final answer
    x = 226,024.19

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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.