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Finding the Fourth Proportional to 415,690.68, 623,286.16 and 162,669.36

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Solution

The fourth proportional to 415,690.68, 623,286.16 and 162,669.36 is: 243,906.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,690.68 : 623,286.16 = 162,669.36 : x
  2. Step 2: Convert to fraction form
    415,690.68/623,286.16 = 162,669.36/x
  3. Step 3: Cross multiply
    415,690.68x = 623,286.16 × 162,669.36
  4. Step 4: Simplify right side
    415,690.68x = 101,389,560,744.06
  5. Step 5: Solve for x
    x = 101,389,560,744.06/415,690.68
  6. Step 6: Final answer
    x = 243,906.26

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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.