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Finding the Fourth Proportional to 425,644.86, 638,467.29 and 145,164.54

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Solution

The fourth proportional to 425,644.86, 638,467.29 and 145,164.54 is: 217,746.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,644.86 : 638,467.29 = 145,164.54 : x
  2. Step 2: Convert to fraction form
    425,644.86/638,467.29 = 145,164.54/x
  3. Step 3: Cross multiply
    425,644.86x = 638,467.29 × 145,164.54
  4. Step 4: Simplify right side
    425,644.86x = 92,682,810,457.90
  5. Step 5: Solve for x
    x = 92,682,810,457.90/425,644.86
  6. Step 6: Final answer
    x = 217,746.81

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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.