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Finding the Fourth Proportional to 569,089,940.42, 785,103,637.29 and 380,978,840.66

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Solution

The fourth proportional to 569,089,940.42, 785,103,637.29 and 380,978,840.66 is: 525,589,809.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,089,940.42 : 785,103,637.29 = 380,978,840.66 : x
  2. Step 2: Convert to fraction form
    569,089,940.42/785,103,637.29 = 380,978,840.66/x
  3. Step 3: Cross multiply
    569,089,940.42x = 785,103,637.29 × 380,978,840.66
  4. Step 4: Simplify right side
    569,089,940.42x = 299,107,873,534,656,128
  5. Step 5: Solve for x
    x = 299,107,873,534,656,128/569,089,940.42
  6. Step 6: Final answer
    x = 525,589,809.79

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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.