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Finding the Fourth Proportional to 638,098.98, 957,365.82 and 401,164.26

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Solution

The fourth proportional to 638,098.98, 957,365.82 and 401,164.26 is: 601,883.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,098.98 : 957,365.82 = 401,164.26 : x
  2. Step 2: Convert to fraction form
    638,098.98/957,365.82 = 401,164.26/x
  3. Step 3: Cross multiply
    638,098.98x = 957,365.82 × 401,164.26
  4. Step 4: Simplify right side
    638,098.98x = 384,060,950,729.59
  5. Step 5: Solve for x
    x = 384,060,950,729.59/638,098.98
  6. Step 6: Final answer
    x = 601,883.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.