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Finding the Fourth Proportional to 284,362, 426,541.78 and 115,844.74

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Solution

The fourth proportional to 284,362, 426,541.78 and 115,844.74 is: 173,766.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,362 : 426,541.78 = 115,844.74 : x
  2. Step 2: Convert to fraction form
    284,362/426,541.78 = 115,844.74/x
  3. Step 3: Cross multiply
    284,362x = 426,541.78 × 115,844.74
  4. Step 4: Simplify right side
    284,362x = 49,412,621,603.24
  5. Step 5: Solve for x
    x = 49,412,621,603.24/284,362
  6. Step 6: Final answer
    x = 173,766.61

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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.