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Finding the Fourth Proportional to 299,490.60, 413,236.83 and 190,638.75

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Solution

The fourth proportional to 299,490.60, 413,236.83 and 190,638.75 is: 263,043.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,490.60 : 413,236.83 = 190,638.75 : x
  2. Step 2: Convert to fraction form
    299,490.60/413,236.83 = 190,638.75/x
  3. Step 3: Cross multiply
    299,490.60x = 413,236.83 × 190,638.75
  4. Step 4: Simplify right side
    299,490.60x = 78,778,952,725.16
  5. Step 5: Solve for x
    x = 78,778,952,725.16/299,490.60
  6. Step 6: Final answer
    x = 263,043.16

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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.