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Finding the Fourth Proportional to 286,166.59, 394,911.42 and 178,798.89

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Solution

The fourth proportional to 286,166.59, 394,911.42 and 178,798.89 is: 246,743.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,166.59 : 394,911.42 = 178,798.89 : x
  2. Step 2: Convert to fraction form
    286,166.59/394,911.42 = 178,798.89/x
  3. Step 3: Cross multiply
    286,166.59x = 394,911.42 × 178,798.89
  4. Step 4: Simplify right side
    286,166.59x = 70,609,724,354.75
  5. Step 5: Solve for x
    x = 70,609,724,354.75/286,166.59
  6. Step 6: Final answer
    x = 246,743.43

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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.