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Finding the Fourth Proportional to 709,309,762.62, 978,907,977.31 and 396,104,484.39

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Solution

The fourth proportional to 709,309,762.62, 978,907,977.31 and 396,104,484.39 is: 546,657,976.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,309,762.62 : 978,907,977.31 = 396,104,484.39 : x
  2. Step 2: Convert to fraction form
    709,309,762.62/978,907,977.31 = 396,104,484.39/x
  3. Step 3: Cross multiply
    709,309,762.62x = 978,907,977.31 × 396,104,484.39
  4. Step 4: Simplify right side
    709,309,762.62x = 387,749,839,621,454,016
  5. Step 5: Solve for x
    x = 387,749,839,621,454,016/709,309,762.62
  6. Step 6: Final answer
    x = 546,657,976.60

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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.