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Finding the Fourth Proportional to 399,150.96, 598,297.92 and 199,076.08

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Solution

The fourth proportional to 399,150.96, 598,297.92 and 199,076.08 is: 298,400.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,150.96 : 598,297.92 = 199,076.08 : x
  2. Step 2: Convert to fraction form
    399,150.96/598,297.92 = 199,076.08/x
  3. Step 3: Cross multiply
    399,150.96x = 598,297.92 × 199,076.08
  4. Step 4: Simplify right side
    399,150.96x = 119,106,804,585.75
  5. Step 5: Solve for x
    x = 119,106,804,585.75/399,150.96
  6. Step 6: Final answer
    x = 298,400.40

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1.5x scale

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.