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Finding the Fourth Proportional to 361,809, 499,296.54 and 200,688.84

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Solution

The fourth proportional to 361,809, 499,296.54 and 200,688.84 is: 276,950.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,809 : 499,296.54 = 200,688.84 : x
  2. Step 2: Convert to fraction form
    361,809/499,296.54 = 200,688.84/x
  3. Step 3: Cross multiply
    361,809x = 499,296.54 × 200,688.84
  4. Step 4: Simplify right side
    361,809x = 100,203,243,428.61
  5. Step 5: Solve for x
    x = 100,203,243,428.61/361,809
  6. Step 6: Final answer
    x = 276,950.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.