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Finding the Fourth Proportional to 199,307.70, 298,961.55 and 188,421.30

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Solution

The fourth proportional to 199,307.70, 298,961.55 and 188,421.30 is: 282,631.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,307.70 : 298,961.55 = 188,421.30 : x
  2. Step 2: Convert to fraction form
    199,307.70/298,961.55 = 188,421.30/x
  3. Step 3: Cross multiply
    199,307.70x = 298,961.55 × 188,421.30
  4. Step 4: Simplify right side
    199,307.70x = 56,330,723,901.02
  5. Step 5: Solve for x
    x = 56,330,723,901.02/199,307.70
  6. Step 6: Final answer
    x = 282,631.95

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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.