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Finding the Fourth Proportional to 709,165,805.60, 978,638,596.11 and 391,639,487.00

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Solution

The fourth proportional to 709,165,805.60, 978,638,596.11 and 391,639,487.00 is: 540,456,850.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,165,805.60 : 978,638,596.11 = 391,639,487.00 : x
  2. Step 2: Convert to fraction form
    709,165,805.60/978,638,596.11 = 391,639,487.00/x
  3. Step 3: Cross multiply
    709,165,805.60x = 978,638,596.11 × 391,639,487.00
  4. Step 4: Simplify right side
    709,165,805.60x = 383,273,517,734,027,392
  5. Step 5: Solve for x
    x = 383,273,517,734,027,392/709,165,805.60
  6. Step 6: Final answer
    x = 540,456,850.44

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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.