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Finding the Fourth Proportional to 401,379.58, 601,647.91 and 135,047.63

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Solution

The fourth proportional to 401,379.58, 601,647.91 and 135,047.63 is: 202,429.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,379.58 : 601,647.91 = 135,047.63 : x
  2. Step 2: Convert to fraction form
    401,379.58/601,647.91 = 135,047.63/x
  3. Step 3: Cross multiply
    401,379.58x = 601,647.91 × 135,047.63
  4. Step 4: Simplify right side
    401,379.58x = 81,251,123,756.70
  5. Step 5: Solve for x
    x = 81,251,123,756.70/401,379.58
  6. Step 6: Final answer
    x = 202,429.64

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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.