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Finding the Fourth Proportional to 285,736.59, 428,574.81 and 117,274.71

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Solution

The fourth proportional to 285,736.59, 428,574.81 and 117,274.71 is: 175,899.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,736.59 : 428,574.81 = 117,274.71 : x
  2. Step 2: Convert to fraction form
    285,736.59/428,574.81 = 117,274.71/x
  3. Step 3: Cross multiply
    285,736.59x = 428,574.81 × 117,274.71
  4. Step 4: Simplify right side
    285,736.59x = 50,260,986,556.06
  5. Step 5: Solve for x
    x = 50,260,986,556.06/285,736.59
  6. Step 6: Final answer
    x = 175,899.72

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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.