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Finding the Fourth Proportional to 286,020.72, 394,690.32 and 158,696.01

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Solution

The fourth proportional to 286,020.72, 394,690.32 and 158,696.01 is: 218,990.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,020.72 : 394,690.32 = 158,696.01 : x
  2. Step 2: Convert to fraction form
    286,020.72/394,690.32 = 158,696.01/x
  3. Step 3: Cross multiply
    286,020.72x = 394,690.32 × 158,696.01
  4. Step 4: Simplify right side
    286,020.72x = 62,635,778,969.62
  5. Step 5: Solve for x
    x = 62,635,778,969.62/286,020.72
  6. Step 6: Final answer
    x = 218,990.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.