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Finding the Fourth Proportional to 393,157.44, 542,536.80 and 223,368

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Solution

The fourth proportional to 393,157.44, 542,536.80 and 223,368 is: 308,236.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,157.44 : 542,536.80 = 223,368 : x
  2. Step 2: Convert to fraction form
    393,157.44/542,536.80 = 223,368/x
  3. Step 3: Cross multiply
    393,157.44x = 542,536.80 × 223,368
  4. Step 4: Simplify right side
    393,157.44x = 121,185,359,942.40
  5. Step 5: Solve for x
    x = 121,185,359,942.40/393,157.44
  6. Step 6: Final answer
    x = 308,236.21

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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.