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Finding the Fourth Proportional to 298,393.29, 447,591.15 and 120,903.66

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Solution

The fourth proportional to 298,393.29, 447,591.15 and 120,903.66 is: 181,355.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,393.29 : 447,591.15 = 120,903.66 : x
  2. Step 2: Convert to fraction form
    298,393.29/447,591.15 = 120,903.66/x
  3. Step 3: Cross multiply
    298,393.29x = 447,591.15 × 120,903.66
  4. Step 4: Simplify right side
    298,393.29x = 54,115,408,218.61
  5. Step 5: Solve for x
    x = 54,115,408,218.61/298,393.29
  6. Step 6: Final answer
    x = 181,355.98

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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.