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Finding the Fourth Proportional to 405,551,812.49, 608,327,718.73 and 405,551,812.49

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Solution

The fourth proportional to 405,551,812.49, 608,327,718.73 and 405,551,812.49 is: 608,327,718.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,551,812.49 : 608,327,718.73 = 405,551,812.49 : x
  2. Step 2: Convert to fraction form
    405,551,812.49/608,327,718.73 = 405,551,812.49/x
  3. Step 3: Cross multiply
    405,551,812.49x = 608,327,718.73 × 405,551,812.49
  4. Step 4: Simplify right side
    405,551,812.49x = 246,708,408,918,858,432
  5. Step 5: Solve for x
    x = 246,708,408,918,858,432/405,551,812.49
  6. Step 6: Final answer
    x = 608,327,718.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.