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Finding the Fourth Proportional to 415,536.68, 624,605.38 and 274,289.90

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Solution

The fourth proportional to 415,536.68, 624,605.38 and 274,289.90 is: 412,293.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,536.68 : 624,605.38 = 274,289.90 : x
  2. Step 2: Convert to fraction form
    415,536.68/624,605.38 = 274,289.90/x
  3. Step 3: Cross multiply
    415,536.68x = 624,605.38 × 274,289.90
  4. Step 4: Simplify right side
    415,536.68x = 171,322,943,410.91
  5. Step 5: Solve for x
    x = 171,322,943,410.91/415,536.68
  6. Step 6: Final answer
    x = 412,293.19

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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.