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Finding the Fourth Proportional to 415,406.45, 624,410.48 and 274,159.51

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Solution

The fourth proportional to 415,406.45, 624,410.48 and 274,159.51 is: 412,097.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,406.45 : 624,410.48 = 274,159.51 : x
  2. Step 2: Convert to fraction form
    415,406.45/624,410.48 = 274,159.51/x
  3. Step 3: Cross multiply
    415,406.45x = 624,410.48 × 274,159.51
  4. Step 4: Simplify right side
    415,406.45x = 171,188,070,360.04
  5. Step 5: Solve for x
    x = 171,188,070,360.04/415,406.45
  6. Step 6: Final answer
    x = 412,097.76

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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.