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Finding the Fourth Proportional to 299,342.15, 413,435.83 and 218,032.68

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Solution

The fourth proportional to 299,342.15, 413,435.83 and 218,032.68 is: 301,135.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,342.15 : 413,435.83 = 218,032.68 : x
  2. Step 2: Convert to fraction form
    299,342.15/413,435.83 = 218,032.68/x
  3. Step 3: Cross multiply
    299,342.15x = 413,435.83 × 218,032.68
  4. Step 4: Simplify right side
    299,342.15x = 90,142,522,568.01
  5. Step 5: Solve for x
    x = 90,142,522,568.01/299,342.15
  6. Step 6: Final answer
    x = 301,135.41

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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.