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Finding the Fourth Proportional to 278,881.40, 418,322.10 and 259,635.80

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Solution

The fourth proportional to 278,881.40, 418,322.10 and 259,635.80 is: 389,453.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,881.40 : 418,322.10 = 259,635.80 : x
  2. Step 2: Convert to fraction form
    278,881.40/418,322.10 = 259,635.80/x
  3. Step 3: Cross multiply
    278,881.40x = 418,322.10 × 259,635.80
  4. Step 4: Simplify right side
    278,881.40x = 108,611,393,091.18
  5. Step 5: Solve for x
    x = 108,611,393,091.18/278,881.40
  6. Step 6: Final answer
    x = 389,453.70

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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.