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Finding the Fourth Proportional to 420,570.66, 630,385.75 and 220,912.14

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Solution

The fourth proportional to 420,570.66, 630,385.75 and 220,912.14 is: 331,121.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,570.66 : 630,385.75 = 220,912.14 : x
  2. Step 2: Convert to fraction form
    420,570.66/630,385.75 = 220,912.14/x
  3. Step 3: Cross multiply
    420,570.66x = 630,385.75 × 220,912.14
  4. Step 4: Simplify right side
    420,570.66x = 139,259,865,058.01
  5. Step 5: Solve for x
    x = 139,259,865,058.01/420,570.66
  6. Step 6: Final answer
    x = 331,121.21

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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.