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Finding the Fourth Proportional to 299,436.76, 413,292.22 and 197,480.64

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Solution

The fourth proportional to 299,436.76, 413,292.22 and 197,480.64 is: 272,569.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,436.76 : 413,292.22 = 197,480.64 : x
  2. Step 2: Convert to fraction form
    299,436.76/413,292.22 = 197,480.64/x
  3. Step 3: Cross multiply
    299,436.76x = 413,292.22 × 197,480.64
  4. Step 4: Simplify right side
    299,436.76x = 81,617,212,112.62
  5. Step 5: Solve for x
    x = 81,617,212,112.62/299,436.76
  6. Step 6: Final answer
    x = 272,569.11

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1.5x scale

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.