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Finding the Fourth Proportional to 420,448.43, 630,297.67 and 154,146.89

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Solution

The fourth proportional to 420,448.43, 630,297.67 and 154,146.89 is: 231,082.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,448.43 : 630,297.67 = 154,146.89 : x
  2. Step 2: Convert to fraction form
    420,448.43/630,297.67 = 154,146.89/x
  3. Step 3: Cross multiply
    420,448.43x = 630,297.67 × 154,146.89
  4. Step 4: Simplify right side
    420,448.43x = 97,158,425,604.75
  5. Step 5: Solve for x
    x = 97,158,425,604.75/420,448.43
  6. Step 6: Final answer
    x = 231,082.86

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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.