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Finding the Fourth Proportional to 286,002.91, 394,684.06 and 158,678.20

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Solution

The fourth proportional to 286,002.91, 394,684.06 and 158,678.20 is: 218,975.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,002.91 : 394,684.06 = 158,678.20 : x
  2. Step 2: Convert to fraction form
    286,002.91/394,684.06 = 158,678.20/x
  3. Step 3: Cross multiply
    286,002.91x = 394,684.06 × 158,678.20
  4. Step 4: Simplify right side
    286,002.91x = 62,627,754,236.07
  5. Step 5: Solve for x
    x = 62,627,754,236.07/286,002.91
  6. Step 6: Final answer
    x = 218,975.94

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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.