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Finding the Fourth Proportional to 425,651.40, 638,433.90 and 145,164.60

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Solution

The fourth proportional to 425,651.40, 638,433.90 and 145,164.60 is: 217,732.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,651.40 : 638,433.90 = 145,164.60 : x
  2. Step 2: Convert to fraction form
    425,651.40/638,433.90 = 145,164.60/x
  3. Step 3: Cross multiply
    425,651.40x = 638,433.90 × 145,164.60
  4. Step 4: Simplify right side
    425,651.40x = 92,678,001,719.94
  5. Step 5: Solve for x
    x = 92,678,001,719.94/425,651.40
  6. Step 6: Final answer
    x = 217,732.17

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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.