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Finding the Fourth Proportional to 355,863.92, 491,077.80 and 212,702.96

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Solution

The fourth proportional to 355,863.92, 491,077.80 and 212,702.96 is: 293,521.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,863.92 : 491,077.80 = 212,702.96 : x
  2. Step 2: Convert to fraction form
    355,863.92/491,077.80 = 212,702.96/x
  3. Step 3: Cross multiply
    355,863.92x = 491,077.80 × 212,702.96
  4. Step 4: Simplify right side
    355,863.92x = 104,453,701,650.29
  5. Step 5: Solve for x
    x = 104,453,701,650.29/355,863.92
  6. Step 6: Final answer
    x = 293,521.47

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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.