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Finding the Fourth Proportional to 415,664.80, 623,788.80 and 266,268.40

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Solution

The fourth proportional to 415,664.80, 623,788.80 and 266,268.40 is: 399,589.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,664.80 : 623,788.80 = 266,268.40 : x
  2. Step 2: Convert to fraction form
    415,664.80/623,788.80 = 266,268.40/x
  3. Step 3: Cross multiply
    415,664.80x = 623,788.80 × 266,268.40
  4. Step 4: Simplify right side
    415,664.80x = 166,095,245,713.92
  5. Step 5: Solve for x
    x = 166,095,245,713.92/415,664.80
  6. Step 6: Final answer
    x = 399,589.39

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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.