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Finding the Fourth Proportional to 420,446.02, 630,294.07 and 154,144.48

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Solution

The fourth proportional to 420,446.02, 630,294.07 and 154,144.48 is: 231,079.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,446.02 : 630,294.07 = 154,144.48 : x
  2. Step 2: Convert to fraction form
    420,446.02/630,294.07 = 154,144.48/x
  3. Step 3: Cross multiply
    420,446.02x = 630,294.07 × 154,144.48
  4. Step 4: Simplify right side
    420,446.02x = 97,156,350,896.51
  5. Step 5: Solve for x
    x = 97,156,350,896.51/420,446.02
  6. Step 6: Final answer
    x = 231,079.25

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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.