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Finding the Fourth Proportional to 467,106, 644,621.64 and 255,138

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Solution

The fourth proportional to 467,106, 644,621.64 and 255,138 is: 352,098.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,106 : 644,621.64 = 255,138 : x
  2. Step 2: Convert to fraction form
    467,106/644,621.64 = 255,138/x
  3. Step 3: Cross multiply
    467,106x = 644,621.64 × 255,138
  4. Step 4: Simplify right side
    467,106x = 164,467,475,986.32
  5. Step 5: Solve for x
    x = 164,467,475,986.32/467,106
  6. Step 6: Final answer
    x = 352,098.83

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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.