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Finding the Fourth Proportional to 314,412.40, 471,322.14 and 156,491.56

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Solution

The fourth proportional to 314,412.40, 471,322.14 and 156,491.56 is: 234,589.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,412.40 : 471,322.14 = 156,491.56 : x
  2. Step 2: Convert to fraction form
    314,412.40/471,322.14 = 156,491.56/x
  3. Step 3: Cross multiply
    314,412.40x = 471,322.14 × 156,491.56
  4. Step 4: Simplify right side
    314,412.40x = 73,757,936,951.14
  5. Step 5: Solve for x
    x = 73,757,936,951.14/314,412.40
  6. Step 6: Final answer
    x = 234,589.78

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1.5x scale

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.