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Finding the Fourth Proportional to 399,309.01, 597,144.25 and 298,178.08

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Solution

The fourth proportional to 399,309.01, 597,144.25 and 298,178.08 is: 445,908.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,309.01 : 597,144.25 = 298,178.08 : x
  2. Step 2: Convert to fraction form
    399,309.01/597,144.25 = 298,178.08/x
  3. Step 3: Cross multiply
    399,309.01x = 597,144.25 × 298,178.08
  4. Step 4: Simplify right side
    399,309.01x = 178,055,325,948.04
  5. Step 5: Solve for x
    x = 178,055,325,948.04/399,309.01
  6. Step 6: Final answer
    x = 445,908.61

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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.