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Finding the Fourth Proportional to 681,955, 941,097.96 and 380,149

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Solution

The fourth proportional to 681,955, 941,097.96 and 380,149 is: 524,605.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,955 : 941,097.96 = 380,149 : x
  2. Step 2: Convert to fraction form
    681,955/941,097.96 = 380,149/x
  3. Step 3: Cross multiply
    681,955x = 941,097.96 × 380,149
  4. Step 4: Simplify right side
    681,955x = 357,757,448,396.04
  5. Step 5: Solve for x
    x = 357,757,448,396.04/681,955
  6. Step 6: Final answer
    x = 524,605.65

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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.