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Finding the Fourth Proportional to 342,018.44, 471,984 and 191,115.44

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Solution

The fourth proportional to 342,018.44, 471,984 and 191,115.44 is: 263,738.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,018.44 : 471,984 = 191,115.44 : x
  2. Step 2: Convert to fraction form
    342,018.44/471,984 = 191,115.44/x
  3. Step 3: Cross multiply
    342,018.44x = 471,984 × 191,115.44
  4. Step 4: Simplify right side
    342,018.44x = 90,203,429,832.96
  5. Step 5: Solve for x
    x = 90,203,429,832.96/342,018.44
  6. Step 6: Final answer
    x = 263,738.50

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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.