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Finding the Fourth Proportional to 764,597, 1,055,145.09 and 425,065.25

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Solution

The fourth proportional to 764,597, 1,055,145.09 and 425,065.25 is: 586,590.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,597 : 1,055,145.09 = 425,065.25 : x
  2. Step 2: Convert to fraction form
    764,597/1,055,145.09 = 425,065.25/x
  3. Step 3: Cross multiply
    764,597x = 1,055,145.09 × 425,065.25
  4. Step 4: Simplify right side
    764,597x = 448,505,511,467.12
  5. Step 5: Solve for x
    x = 448,505,511,467.12/764,597
  6. Step 6: Final answer
    x = 586,590.73

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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.