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Finding the Fourth Proportional to 422,696.40, 583,316.28 and 231,709.20

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Solution

The fourth proportional to 422,696.40, 583,316.28 and 231,709.20 is: 319,756.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,696.40 : 583,316.28 = 231,709.20 : x
  2. Step 2: Convert to fraction form
    422,696.40/583,316.28 = 231,709.20/x
  3. Step 3: Cross multiply
    422,696.40x = 583,316.28 × 231,709.20
  4. Step 4: Simplify right side
    422,696.40x = 135,159,748,585.78
  5. Step 5: Solve for x
    x = 135,159,748,585.78/422,696.40
  6. Step 6: Final answer
    x = 319,756.09

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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.