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Finding the Fourth Proportional to 285,314.32, 427,811.40 and 195,458.56

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Solution

The fourth proportional to 285,314.32, 427,811.40 and 195,458.56 is: 293,078.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,314.32 : 427,811.40 = 195,458.56 : x
  2. Step 2: Convert to fraction form
    285,314.32/427,811.40 = 195,458.56/x
  3. Step 3: Cross multiply
    285,314.32x = 427,811.40 × 195,458.56
  4. Step 4: Simplify right side
    285,314.32x = 83,619,400,195.58
  5. Step 5: Solve for x
    x = 83,619,400,195.58/285,314.32
  6. Step 6: Final answer
    x = 293,078.17

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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.