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Finding the Fourth Proportional to 284,615.94, 426,923.48 and 74,253.88

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Solution

The fourth proportional to 284,615.94, 426,923.48 and 74,253.88 is: 111,380.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,615.94 : 426,923.48 = 74,253.88 : x
  2. Step 2: Convert to fraction form
    284,615.94/426,923.48 = 74,253.88/x
  3. Step 3: Cross multiply
    284,615.94x = 426,923.48 × 74,253.88
  4. Step 4: Simplify right side
    284,615.94x = 31,700,724,853.10
  5. Step 5: Solve for x
    x = 31,700,724,853.10/284,615.94
  6. Step 6: Final answer
    x = 111,380.71

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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.