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Finding the Fourth Proportional to 307,784.21, 461,838.80 and 218,404.40

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Solution

The fourth proportional to 307,784.21, 461,838.80 and 218,404.40 is: 327,721.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,784.21 : 461,838.80 = 218,404.40 : x
  2. Step 2: Convert to fraction form
    307,784.21/461,838.80 = 218,404.40/x
  3. Step 3: Cross multiply
    307,784.21x = 461,838.80 × 218,404.40
  4. Step 4: Simplify right side
    307,784.21x = 100,867,624,247.54
  5. Step 5: Solve for x
    x = 100,867,624,247.54/307,784.21
  6. Step 6: Final answer
    x = 327,721.90

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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.