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Finding the Fourth Proportional to 223,894.40, 335,258.40 and 213,396.80

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Solution

The fourth proportional to 223,894.40, 335,258.40 and 213,396.80 is: 319,539.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,894.40 : 335,258.40 = 213,396.80 : x
  2. Step 2: Convert to fraction form
    223,894.40/335,258.40 = 213,396.80/x
  3. Step 3: Cross multiply
    223,894.40x = 335,258.40 × 213,396.80
  4. Step 4: Simplify right side
    223,894.40x = 71,543,069,733.12
  5. Step 5: Solve for x
    x = 71,543,069,733.12/223,894.40
  6. Step 6: Final answer
    x = 319,539.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.