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Finding the Fourth Proportional to 320,649.81, 442,427.81 and 193,322.67

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Solution

The fourth proportional to 320,649.81, 442,427.81 and 193,322.67 is: 266,743.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,649.81 : 442,427.81 = 193,322.67 : x
  2. Step 2: Convert to fraction form
    320,649.81/442,427.81 = 193,322.67/x
  3. Step 3: Cross multiply
    320,649.81x = 442,427.81 × 193,322.67
  4. Step 4: Simplify right side
    320,649.81x = 85,531,324,544.84
  5. Step 5: Solve for x
    x = 85,531,324,544.84/320,649.81
  6. Step 6: Final answer
    x = 266,743.72

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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.