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Finding the Fourth Proportional to 284,849.82, 427,274.73 and 74,485.93

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Solution

The fourth proportional to 284,849.82, 427,274.73 and 74,485.93 is: 111,728.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,849.82 : 427,274.73 = 74,485.93 : x
  2. Step 2: Convert to fraction form
    284,849.82/427,274.73 = 74,485.93/x
  3. Step 3: Cross multiply
    284,849.82x = 427,274.73 × 74,485.93
  4. Step 4: Simplify right side
    284,849.82x = 31,825,955,629.55
  5. Step 5: Solve for x
    x = 31,825,955,629.55/284,849.82
  6. Step 6: Final answer
    x = 111,728.90

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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.