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Finding the Fourth Proportional to 322,142.58, 444,779.16 and 201,338.17

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Solution

The fourth proportional to 322,142.58, 444,779.16 and 201,338.17 is: 277,985.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,142.58 : 444,779.16 = 201,338.17 : x
  2. Step 2: Convert to fraction form
    322,142.58/444,779.16 = 201,338.17/x
  3. Step 3: Cross multiply
    322,142.58x = 444,779.16 × 201,338.17
  4. Step 4: Simplify right side
    322,142.58x = 89,551,022,128.54
  5. Step 5: Solve for x
    x = 89,551,022,128.54/322,142.58
  6. Step 6: Final answer
    x = 277,985.67

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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.