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Finding the Fourth Proportional to 380,200.62, 524,135.94 and 259,186.62

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Solution

The fourth proportional to 380,200.62, 524,135.94 and 259,186.62 is: 357,308.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,200.62 : 524,135.94 = 259,186.62 : x
  2. Step 2: Convert to fraction form
    380,200.62/524,135.94 = 259,186.62/x
  3. Step 3: Cross multiply
    380,200.62x = 524,135.94 × 259,186.62
  4. Step 4: Simplify right side
    380,200.62x = 135,849,022,709.12
  5. Step 5: Solve for x
    x = 135,849,022,709.12/380,200.62
  6. Step 6: Final answer
    x = 357,308.79

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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.