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Finding the Fourth Proportional to 401,198.51, 601,163.93 and 148,130.21

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Solution

The fourth proportional to 401,198.51, 601,163.93 and 148,130.21 is: 221,961.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,198.51 : 601,163.93 = 148,130.21 : x
  2. Step 2: Convert to fraction form
    401,198.51/601,163.93 = 148,130.21/x
  3. Step 3: Cross multiply
    401,198.51x = 601,163.93 × 148,130.21
  4. Step 4: Simplify right side
    401,198.51x = 89,050,541,068.56
  5. Step 5: Solve for x
    x = 89,050,541,068.56/401,198.51
  6. Step 6: Final answer
    x = 221,961.29

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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.