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Finding the Fourth Proportional to 358,832, 495,188.16 and 199,856

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Solution

The fourth proportional to 358,832, 495,188.16 and 199,856 is: 275,801.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,832 : 495,188.16 = 199,856 : x
  2. Step 2: Convert to fraction form
    358,832/495,188.16 = 199,856/x
  3. Step 3: Cross multiply
    358,832x = 495,188.16 × 199,856
  4. Step 4: Simplify right side
    358,832x = 98,966,324,904.96
  5. Step 5: Solve for x
    x = 98,966,324,904.96/358,832
  6. Step 6: Final answer
    x = 275,801.28

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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.