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Finding the Fourth Proportional to 298,185.53, 411,486.64 and 162,215.98

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Solution

The fourth proportional to 298,185.53, 411,486.64 and 162,215.98 is: 223,852.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,185.53 : 411,486.64 = 162,215.98 : x
  2. Step 2: Convert to fraction form
    298,185.53/411,486.64 = 162,215.98/x
  3. Step 3: Cross multiply
    298,185.53x = 411,486.64 × 162,215.98
  4. Step 4: Simplify right side
    298,185.53x = 66,749,707,130.25
  5. Step 5: Solve for x
    x = 66,749,707,130.25/298,185.53
  6. Step 6: Final answer
    x = 223,852.94

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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.