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Finding the Fourth Proportional to 525,878.27, 789,172.32 and 205,990.44

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Solution

The fourth proportional to 525,878.27, 789,172.32 and 205,990.44 is: 309,124.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,878.27 : 789,172.32 = 205,990.44 : x
  2. Step 2: Convert to fraction form
    525,878.27/789,172.32 = 205,990.44/x
  3. Step 3: Cross multiply
    525,878.27x = 789,172.32 × 205,990.44
  4. Step 4: Simplify right side
    525,878.27x = 162,561,953,432.62
  5. Step 5: Solve for x
    x = 162,561,953,432.62/525,878.27
  6. Step 6: Final answer
    x = 309,124.69

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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.