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Finding the Fourth Proportional to 284,513.64, 426,770.78 and 74,151.40

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Solution

The fourth proportional to 284,513.64, 426,770.78 and 74,151.40 is: 111,227.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,513.64 : 426,770.78 = 74,151.40 : x
  2. Step 2: Convert to fraction form
    284,513.64/426,770.78 = 74,151.40/x
  3. Step 3: Cross multiply
    284,513.64x = 426,770.78 × 74,151.40
  4. Step 4: Simplify right side
    284,513.64x = 31,645,650,816.09
  5. Step 5: Solve for x
    x = 31,645,650,816.09/284,513.64
  6. Step 6: Final answer
    x = 111,227.18

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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.