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Finding the Fourth Proportional to 318,491.44, 477,588.86 and 185,409.76

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Solution

The fourth proportional to 318,491.44, 477,588.86 and 185,409.76 is: 278,028.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,491.44 : 477,588.86 = 185,409.76 : x
  2. Step 2: Convert to fraction form
    318,491.44/477,588.86 = 185,409.76/x
  3. Step 3: Cross multiply
    318,491.44x = 477,588.86 × 185,409.76
  4. Step 4: Simplify right side
    318,491.44x = 88,549,635,381.02
  5. Step 5: Solve for x
    x = 88,549,635,381.02/318,491.44
  6. Step 6: Final answer
    x = 278,028.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.