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Finding the Fourth Proportional to 378,611.60, 567,139.80 and 191,728.40

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Solution

The fourth proportional to 378,611.60, 567,139.80 and 191,728.40 is: 287,198.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,611.60 : 567,139.80 = 191,728.40 : x
  2. Step 2: Convert to fraction form
    378,611.60/567,139.80 = 191,728.40/x
  3. Step 3: Cross multiply
    378,611.60x = 567,139.80 × 191,728.40
  4. Step 4: Simplify right side
    378,611.60x = 108,736,806,430.32
  5. Step 5: Solve for x
    x = 108,736,806,430.32/378,611.60
  6. Step 6: Final answer
    x = 287,198.82

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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.