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Finding the Fourth Proportional to 299,391.12, 413,149.32 and 178,470

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Solution

The fourth proportional to 299,391.12, 413,149.32 and 178,470 is: 246,282.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,391.12 : 413,149.32 = 178,470 : x
  2. Step 2: Convert to fraction form
    299,391.12/413,149.32 = 178,470/x
  3. Step 3: Cross multiply
    299,391.12x = 413,149.32 × 178,470
  4. Step 4: Simplify right side
    299,391.12x = 73,734,759,140.40
  5. Step 5: Solve for x
    x = 73,734,759,140.40/299,391.12
  6. Step 6: Final answer
    x = 246,282.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.