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Finding the Fourth Proportional to 315,255, 434,992.38 and 187,942.44

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Solution

The fourth proportional to 315,255, 434,992.38 and 187,942.44 is: 259,325.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,255 : 434,992.38 = 187,942.44 : x
  2. Step 2: Convert to fraction form
    315,255/434,992.38 = 187,942.44/x
  3. Step 3: Cross multiply
    315,255x = 434,992.38 × 187,942.44
  4. Step 4: Simplify right side
    315,255x = 81,753,529,278.61
  5. Step 5: Solve for x
    x = 81,753,529,278.61/315,255
  6. Step 6: Final answer
    x = 259,325.08

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1.5x scale

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.