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Finding the Fourth Proportional to 420,314.70, 630,425.32 and 150,431.94

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Solution

The fourth proportional to 420,314.70, 630,425.32 and 150,431.94 is: 225,631.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,314.70 : 630,425.32 = 150,431.94 : x
  2. Step 2: Convert to fraction form
    420,314.70/630,425.32 = 150,431.94/x
  3. Step 3: Cross multiply
    420,314.70x = 630,425.32 × 150,431.94
  4. Step 4: Simplify right side
    420,314.70x = 94,836,103,912.72
  5. Step 5: Solve for x
    x = 94,836,103,912.72/420,314.70
  6. Step 6: Final answer
    x = 225,631.19

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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.