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Finding the Fourth Proportional to 322,731, 445,368.78 and 188,595

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Solution

The fourth proportional to 322,731, 445,368.78 and 188,595 is: 260,261.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,731 : 445,368.78 = 188,595 : x
  2. Step 2: Convert to fraction form
    322,731/445,368.78 = 188,595/x
  3. Step 3: Cross multiply
    322,731x = 445,368.78 × 188,595
  4. Step 4: Simplify right side
    322,731x = 83,994,325,064.10
  5. Step 5: Solve for x
    x = 83,994,325,064.10/322,731
  6. Step 6: Final answer
    x = 260,261.10

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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.