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Finding the Fourth Proportional to 709,319.16, 978,858.36 and 387,027

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Solution

The fourth proportional to 709,319.16, 978,858.36 and 387,027 is: 534,096.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,319.16 : 978,858.36 = 387,027 : x
  2. Step 2: Convert to fraction form
    709,319.16/978,858.36 = 387,027/x
  3. Step 3: Cross multiply
    709,319.16x = 978,858.36 × 387,027
  4. Step 4: Simplify right side
    709,319.16x = 378,844,614,495.72
  5. Step 5: Solve for x
    x = 378,844,614,495.72/709,319.16
  6. Step 6: Final answer
    x = 534,096.12

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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.