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Finding the Fourth Proportional to 468,893.80, 647,037.66 and 285,106.83

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Solution

The fourth proportional to 468,893.80, 647,037.66 and 285,106.83 is: 393,425.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,893.80 : 647,037.66 = 285,106.83 : x
  2. Step 2: Convert to fraction form
    468,893.80/647,037.66 = 285,106.83/x
  3. Step 3: Cross multiply
    468,893.80x = 647,037.66 × 285,106.83
  4. Step 4: Simplify right side
    468,893.80x = 184,474,856,133.22
  5. Step 5: Solve for x
    x = 184,474,856,133.22/468,893.80
  6. Step 6: Final answer
    x = 393,425.67

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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.