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Finding the Fourth Proportional to 425,431.80, 638,234.10 and 144,977.40

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Solution

The fourth proportional to 425,431.80, 638,234.10 and 144,977.40 is: 217,495.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,431.80 : 638,234.10 = 144,977.40 : x
  2. Step 2: Convert to fraction form
    425,431.80/638,234.10 = 144,977.40/x
  3. Step 3: Cross multiply
    425,431.80x = 638,234.10 × 144,977.40
  4. Step 4: Simplify right side
    425,431.80x = 92,529,520,409.34
  5. Step 5: Solve for x
    x = 92,529,520,409.34/425,431.80
  6. Step 6: Final answer
    x = 217,495.54

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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.