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Finding the Fourth Proportional to 284,447.88, 426,696.66 and 74,085.48

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Solution

The fourth proportional to 284,447.88, 426,696.66 and 74,085.48 is: 111,134.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,447.88 : 426,696.66 = 74,085.48 : x
  2. Step 2: Convert to fraction form
    284,447.88/426,696.66 = 74,085.48/x
  3. Step 3: Cross multiply
    284,447.88x = 426,696.66 × 74,085.48
  4. Step 4: Simplify right side
    284,447.88x = 31,612,026,870.50
  5. Step 5: Solve for x
    x = 31,612,026,870.50/284,447.88
  6. Step 6: Final answer
    x = 111,134.69

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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.