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Finding the Fourth Proportional to 290,464.28, 435,696.74 and 90,785.72

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Solution

The fourth proportional to 290,464.28, 435,696.74 and 90,785.72 is: 136,178.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,464.28 : 435,696.74 = 90,785.72 : x
  2. Step 2: Convert to fraction form
    290,464.28/435,696.74 = 90,785.72/x
  3. Step 3: Cross multiply
    290,464.28x = 435,696.74 × 90,785.72
  4. Step 4: Simplify right side
    290,464.28x = 39,555,040,291.03
  5. Step 5: Solve for x
    x = 39,555,040,291.03/290,464.28
  6. Step 6: Final answer
    x = 136,178.68

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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.