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Finding the Fourth Proportional to 315,277.10, 435,043.23 and 200,568.94

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Solution

The fourth proportional to 315,277.10, 435,043.23 and 200,568.94 is: 276,760.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,277.10 : 435,043.23 = 200,568.94 : x
  2. Step 2: Convert to fraction form
    315,277.10/435,043.23 = 200,568.94/x
  3. Step 3: Cross multiply
    315,277.10x = 435,043.23 × 200,568.94
  4. Step 4: Simplify right side
    315,277.10x = 87,256,159,495.28
  5. Step 5: Solve for x
    x = 87,256,159,495.28/315,277.10
  6. Step 6: Final answer
    x = 276,760.22

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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.