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Finding the Fourth Proportional to 342,064.36, 471,995.94 and 191,132.20

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Solution

The fourth proportional to 342,064.36, 471,995.94 and 191,132.20 is: 263,732.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,064.36 : 471,995.94 = 191,132.20 : x
  2. Step 2: Convert to fraction form
    342,064.36/471,995.94 = 191,132.20/x
  3. Step 3: Cross multiply
    342,064.36x = 471,995.94 × 191,132.20
  4. Step 4: Simplify right side
    342,064.36x = 90,213,622,403.27
  5. Step 5: Solve for x
    x = 90,213,622,403.27/342,064.36
  6. Step 6: Final answer
    x = 263,732.89

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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.