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Finding the Fourth Proportional to 458,617.12, 687,660 and 177,805.60

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Solution

The fourth proportional to 458,617.12, 687,660 and 177,805.60 is: 266,605.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,617.12 : 687,660 = 177,805.60 : x
  2. Step 2: Convert to fraction form
    458,617.12/687,660 = 177,805.60/x
  3. Step 3: Cross multiply
    458,617.12x = 687,660 × 177,805.60
  4. Step 4: Simplify right side
    458,617.12x = 122,269,798,896
  5. Step 5: Solve for x
    x = 122,269,798,896/458,617.12
  6. Step 6: Final answer
    x = 266,605.40

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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.