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Finding the Fourth Proportional to 199,507.41, 298,922.81 and 120,455.60

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Solution

The fourth proportional to 199,507.41, 298,922.81 and 120,455.60 is: 180,479.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,507.41 : 298,922.81 = 120,455.60 : x
  2. Step 2: Convert to fraction form
    199,507.41/298,922.81 = 120,455.60/x
  3. Step 3: Cross multiply
    199,507.41x = 298,922.81 × 120,455.60
  4. Step 4: Simplify right side
    199,507.41x = 36,006,924,335.34
  5. Step 5: Solve for x
    x = 36,006,924,335.34/199,507.41
  6. Step 6: Final answer
    x = 180,479.13

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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.