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Finding the Fourth Proportional to 381,565.60, 571,570.80 and 194,682.40

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Solution

The fourth proportional to 381,565.60, 571,570.80 and 194,682.40 is: 291,626.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,565.60 : 571,570.80 = 194,682.40 : x
  2. Step 2: Convert to fraction form
    381,565.60/571,570.80 = 194,682.40/x
  3. Step 3: Cross multiply
    381,565.60x = 571,570.80 × 194,682.40
  4. Step 4: Simplify right side
    381,565.60x = 111,274,775,113.92
  5. Step 5: Solve for x
    x = 111,274,775,113.92/381,565.60
  6. Step 6: Final answer
    x = 291,626.85

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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.