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Finding the Fourth Proportional to 393,702.30, 543,309.03 and 214,854.30

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Solution

The fourth proportional to 393,702.30, 543,309.03 and 214,854.30 is: 296,498.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,702.30 : 543,309.03 = 214,854.30 : x
  2. Step 2: Convert to fraction form
    393,702.30/543,309.03 = 214,854.30/x
  3. Step 3: Cross multiply
    393,702.30x = 543,309.03 × 214,854.30
  4. Step 4: Simplify right side
    393,702.30x = 116,732,281,324.33
  5. Step 5: Solve for x
    x = 116,732,281,324.33/393,702.30
  6. Step 6: Final answer
    x = 296,498.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.