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Finding the Fourth Proportional to 422,804.21, 583,465.37 and 231,817.13

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Solution

The fourth proportional to 422,804.21, 583,465.37 and 231,817.13 is: 319,905.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,804.21 : 583,465.37 = 231,817.13 : x
  2. Step 2: Convert to fraction form
    422,804.21/583,465.37 = 231,817.13/x
  3. Step 3: Cross multiply
    422,804.21x = 583,465.37 × 231,817.13
  4. Step 4: Simplify right side
    422,804.21x = 135,257,266,368.70
  5. Step 5: Solve for x
    x = 135,257,266,368.70/422,804.21
  6. Step 6: Final answer
    x = 319,905.20

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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.