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Finding the Fourth Proportional to 342,023.76, 471,992.04 and 191,120.76

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Solution

The fourth proportional to 342,023.76, 471,992.04 and 191,120.76 is: 263,746.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,023.76 : 471,992.04 = 191,120.76 : x
  2. Step 2: Convert to fraction form
    342,023.76/471,992.04 = 191,120.76/x
  3. Step 3: Cross multiply
    342,023.76x = 471,992.04 × 191,120.76
  4. Step 4: Simplify right side
    342,023.76x = 90,207,477,398.75
  5. Step 5: Solve for x
    x = 90,207,477,398.75/342,023.76
  6. Step 6: Final answer
    x = 263,746.23

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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.