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Finding the Fourth Proportional to 702,211,617.72, 969,052,014.36 and 388,966,009.68

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Solution

The fourth proportional to 702,211,617.72, 969,052,014.36 and 388,966,009.68 is: 536,773,083.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,211,617.72 : 969,052,014.36 = 388,966,009.68 : x
  2. Step 2: Convert to fraction form
    702,211,617.72/969,052,014.36 = 388,966,009.68/x
  3. Step 3: Cross multiply
    702,211,617.72x = 969,052,014.36 × 388,966,009.68
  4. Step 4: Simplify right side
    702,211,617.72x = 376,928,295,197,975,296
  5. Step 5: Solve for x
    x = 376,928,295,197,975,296/702,211,617.72
  6. Step 6: Final answer
    x = 536,773,083.34

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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.