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Finding the Fourth Proportional to 358,077.76, 494,159.72 and 196,945

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Solution

The fourth proportional to 358,077.76, 494,159.72 and 196,945 is: 271,790.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,077.76 : 494,159.72 = 196,945 : x
  2. Step 2: Convert to fraction form
    358,077.76/494,159.72 = 196,945/x
  3. Step 3: Cross multiply
    358,077.76x = 494,159.72 × 196,945
  4. Step 4: Simplify right side
    358,077.76x = 97,322,286,055.40
  5. Step 5: Solve for x
    x = 97,322,286,055.40/358,077.76
  6. Step 6: Final answer
    x = 271,790.93

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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.