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Finding the Fourth Proportional to 199,311.70, 298,967.55 and 188,425.30

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Solution

The fourth proportional to 199,311.70, 298,967.55 and 188,425.30 is: 282,637.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,311.70 : 298,967.55 = 188,425.30 : x
  2. Step 2: Convert to fraction form
    199,311.70/298,967.55 = 188,425.30/x
  3. Step 3: Cross multiply
    199,311.70x = 298,967.55 × 188,425.30
  4. Step 4: Simplify right side
    199,311.70x = 56,333,050,299.02
  5. Step 5: Solve for x
    x = 56,333,050,299.02/199,311.70
  6. Step 6: Final answer
    x = 282,637.95

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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.