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Finding the Fourth Proportional to 291,086.29, 401,699.02 and 162,021.98

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Solution

The fourth proportional to 291,086.29, 401,699.02 and 162,021.98 is: 223,590.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,086.29 : 401,699.02 = 162,021.98 : x
  2. Step 2: Convert to fraction form
    291,086.29/401,699.02 = 162,021.98/x
  3. Step 3: Cross multiply
    291,086.29x = 401,699.02 × 162,021.98
  4. Step 4: Simplify right side
    291,086.29x = 65,084,071,487.44
  5. Step 5: Solve for x
    x = 65,084,071,487.44/291,086.29
  6. Step 6: Final answer
    x = 223,590.31

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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.