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Finding the Fourth Proportional to 709,119.44, 978,742.62 and 450,944.06

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Solution

The fourth proportional to 709,119.44, 978,742.62 and 450,944.06 is: 622,403.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,119.44 : 978,742.62 = 450,944.06 : x
  2. Step 2: Convert to fraction form
    709,119.44/978,742.62 = 450,944.06/x
  3. Step 3: Cross multiply
    709,119.44x = 978,742.62 × 450,944.06
  4. Step 4: Simplify right side
    709,119.44x = 441,358,170,757.84
  5. Step 5: Solve for x
    x = 441,358,170,757.84/709,119.44
  6. Step 6: Final answer
    x = 622,403.15

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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.