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Finding the Fourth Proportional to 305,989.56, 422,089.74 and 191,068.74

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Solution

The fourth proportional to 305,989.56, 422,089.74 and 191,068.74 is: 263,565.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,989.56 : 422,089.74 = 191,068.74 : x
  2. Step 2: Convert to fraction form
    305,989.56/422,089.74 = 191,068.74/x
  3. Step 3: Cross multiply
    305,989.56x = 422,089.74 × 191,068.74
  4. Step 4: Simplify right side
    305,989.56x = 80,648,154,788.73
  5. Step 5: Solve for x
    x = 80,648,154,788.73/305,989.56
  6. Step 6: Final answer
    x = 263,565.05

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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.