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Finding the Fourth Proportional to 252,809, 379,275.90 and 75,315.32

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Solution

The fourth proportional to 252,809, 379,275.90 and 75,315.32 is: 112,991.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,809 : 379,275.90 = 75,315.32 : x
  2. Step 2: Convert to fraction form
    252,809/379,275.90 = 75,315.32/x
  3. Step 3: Cross multiply
    252,809x = 379,275.90 × 75,315.32
  4. Step 4: Simplify right side
    252,809x = 28,565,285,776.79
  5. Step 5: Solve for x
    x = 28,565,285,776.79/252,809
  6. Step 6: Final answer
    x = 112,991.57

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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.