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Finding the Fourth Proportional to 415,657.60, 624,100.80 and 322,268.80

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Solution

The fourth proportional to 415,657.60, 624,100.80 and 322,268.80 is: 483,879.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,657.60 : 624,100.80 = 322,268.80 : x
  2. Step 2: Convert to fraction form
    415,657.60/624,100.80 = 322,268.80/x
  3. Step 3: Cross multiply
    415,657.60x = 624,100.80 × 322,268.80
  4. Step 4: Simplify right side
    415,657.60x = 201,128,215,895.04
  5. Step 5: Solve for x
    x = 201,128,215,895.04/415,657.60
  6. Step 6: Final answer
    x = 483,879.56

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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.