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Finding the Fourth Proportional to 422,804.71, 583,466.06 and 231,817.63

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Solution

The fourth proportional to 422,804.71, 583,466.06 and 231,817.63 is: 319,905.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,804.71 : 583,466.06 = 231,817.63 : x
  2. Step 2: Convert to fraction form
    422,804.71/583,466.06 = 231,817.63/x
  3. Step 3: Cross multiply
    422,804.71x = 583,466.06 × 231,817.63
  4. Step 4: Simplify right side
    422,804.71x = 135,257,718,055.55
  5. Step 5: Solve for x
    x = 135,257,718,055.55/422,804.71
  6. Step 6: Final answer
    x = 319,905.89

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1.5x scale

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.