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Finding the Fourth Proportional to 401,378.98, 601,647.02 and 135,047.04

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Solution

The fourth proportional to 401,378.98, 601,647.02 and 135,047.04 is: 202,428.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,378.98 : 601,647.02 = 135,047.04 : x
  2. Step 2: Convert to fraction form
    401,378.98/601,647.02 = 135,047.04/x
  3. Step 3: Cross multiply
    401,378.98x = 601,647.02 × 135,047.04
  4. Step 4: Simplify right side
    401,378.98x = 81,250,649,175.82
  5. Step 5: Solve for x
    x = 81,250,649,175.82/401,378.98
  6. Step 6: Final answer
    x = 202,428.76

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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.