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Finding the Fourth Proportional to 587,189,768.45, 809,569,659.64 and 480,951,809.30

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Solution

The fourth proportional to 587,189,768.45, 809,569,659.64 and 480,951,809.30 is: 663,097,372.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,189,768.45 : 809,569,659.64 = 480,951,809.30 : x
  2. Step 2: Convert to fraction form
    587,189,768.45/809,569,659.64 = 480,951,809.30/x
  3. Step 3: Cross multiply
    587,189,768.45x = 809,569,659.64 × 480,951,809.30
  4. Step 4: Simplify right side
    587,189,768.45x = 389,363,992,552,993,024
  5. Step 5: Solve for x
    x = 389,363,992,552,993,024/587,189,768.45
  6. Step 6: Final answer
    x = 663,097,372.39

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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.