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Finding the Fourth Proportional to 471,419.70, 650,546.68 and 256,555.15

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Solution

The fourth proportional to 471,419.70, 650,546.68 and 256,555.15 is: 354,039.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,419.70 : 650,546.68 = 256,555.15 : x
  2. Step 2: Convert to fraction form
    471,419.70/650,546.68 = 256,555.15/x
  3. Step 3: Cross multiply
    471,419.70x = 650,546.68 × 256,555.15
  4. Step 4: Simplify right side
    471,419.70x = 166,901,101,069.40
  5. Step 5: Solve for x
    x = 166,901,101,069.40/471,419.70
  6. Step 6: Final answer
    x = 354,039.30

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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.