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Finding the Fourth Proportional to 284,850.82, 427,276.23 and 74,486.93

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Solution

The fourth proportional to 284,850.82, 427,276.23 and 74,486.93 is: 111,730.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,850.82 : 427,276.23 = 74,486.93 : x
  2. Step 2: Convert to fraction form
    284,850.82/427,276.23 = 74,486.93/x
  3. Step 3: Cross multiply
    284,850.82x = 427,276.23 × 74,486.93
  4. Step 4: Simplify right side
    284,850.82x = 31,826,494,634.67
  5. Step 5: Solve for x
    x = 31,826,494,634.67/284,850.82
  6. Step 6: Final answer
    x = 111,730.40

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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.