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Finding the Fourth Proportional to 789,113,220.72, 1,088,978,362.48 and 436,713,512.64

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Solution

The fourth proportional to 789,113,220.72, 1,088,978,362.48 and 436,713,512.64 is: 602,665,819.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    789,113,220.72 : 1,088,978,362.48 = 436,713,512.64 : x
  2. Step 2: Convert to fraction form
    789,113,220.72/1,088,978,362.48 = 436,713,512.64/x
  3. Step 3: Cross multiply
    789,113,220.72x = 1,088,978,362.48 × 436,713,512.64
  4. Step 4: Simplify right side
    789,113,220.72x = 475,571,565,867,595,968
  5. Step 5: Solve for x
    x = 475,571,565,867,595,968/789,113,220.72
  6. Step 6: Final answer
    x = 602,665,819.53

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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.