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Finding the Fourth Proportional to 286,007.78, 394,690.78 and 158,683.08

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Solution

The fourth proportional to 286,007.78, 394,690.78 and 158,683.08 is: 218,982.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,007.78 : 394,690.78 = 158,683.08 : x
  2. Step 2: Convert to fraction form
    286,007.78/394,690.78 = 158,683.08/x
  3. Step 3: Cross multiply
    286,007.78x = 394,690.78 × 158,683.08
  4. Step 4: Simplify right side
    286,007.78x = 62,630,748,618.00
  5. Step 5: Solve for x
    x = 62,630,748,618.00/286,007.78
  6. Step 6: Final answer
    x = 218,982.67

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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.