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Finding the Fourth Proportional to 461,778.22, 637,247.89 and 257,832.60

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Solution

The fourth proportional to 461,778.22, 637,247.89 and 257,832.60 is: 355,805.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,778.22 : 637,247.89 = 257,832.60 : x
  2. Step 2: Convert to fraction form
    461,778.22/637,247.89 = 257,832.60/x
  3. Step 3: Cross multiply
    461,778.22x = 637,247.89 × 257,832.60
  4. Step 4: Simplify right side
    461,778.22x = 164,303,275,847.81
  5. Step 5: Solve for x
    x = 164,303,275,847.81/461,778.22
  6. Step 6: Final answer
    x = 355,805.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.