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Finding the Fourth Proportional to 709,400.18, 978,993.01 and 387,131.05

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Solution

The fourth proportional to 709,400.18, 978,993.01 and 387,131.05 is: 534,252.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,400.18 : 978,993.01 = 387,131.05 : x
  2. Step 2: Convert to fraction form
    709,400.18/978,993.01 = 387,131.05/x
  3. Step 3: Cross multiply
    709,400.18x = 978,993.01 × 387,131.05
  4. Step 4: Simplify right side
    709,400.18x = 378,998,591,903.96
  5. Step 5: Solve for x
    x = 378,998,591,903.96/709,400.18
  6. Step 6: Final answer
    x = 534,252.18

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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.