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Finding the Fourth Proportional to 789,752, 1,089,857.76 and 427,175.84

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Solution

The fourth proportional to 789,752, 1,089,857.76 and 427,175.84 is: 589,502.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    789,752 : 1,089,857.76 = 427,175.84 : x
  2. Step 2: Convert to fraction form
    789,752/1,089,857.76 = 427,175.84/x
  3. Step 3: Cross multiply
    789,752x = 1,089,857.76 × 427,175.84
  4. Step 4: Simplify right side
    789,752x = 465,560,904,108.52
  5. Step 5: Solve for x
    x = 465,560,904,108.52/789,752
  6. Step 6: Final answer
    x = 589,502.66

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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.