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Finding the Fourth Proportional to 415,407.45, 624,411.99 and 274,160.51

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Solution

The fourth proportional to 415,407.45, 624,411.99 and 274,160.51 is: 412,099.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,407.45 : 624,411.99 = 274,160.51 : x
  2. Step 2: Convert to fraction form
    415,407.45/624,411.99 = 274,160.51/x
  3. Step 3: Cross multiply
    415,407.45x = 624,411.99 × 274,160.51
  4. Step 4: Simplify right side
    415,407.45x = 171,189,109,628.52
  5. Step 5: Solve for x
    x = 171,189,109,628.52/415,407.45
  6. Step 6: Final answer
    x = 412,099.28

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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.