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Finding the Fourth Proportional to 358,143.72, 494,239.32 and 197,015.28

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Solution

The fourth proportional to 358,143.72, 494,239.32 and 197,015.28 is: 271,881.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,143.72 : 494,239.32 = 197,015.28 : x
  2. Step 2: Convert to fraction form
    358,143.72/494,239.32 = 197,015.28/x
  3. Step 3: Cross multiply
    358,143.72x = 494,239.32 × 197,015.28
  4. Step 4: Simplify right side
    358,143.72x = 97,372,698,016.81
  5. Step 5: Solve for x
    x = 97,372,698,016.81/358,143.72
  6. Step 6: Final answer
    x = 271,881.63

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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.