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Finding the Fourth Proportional to 312,209.44, 430,846.48 and 168,966.56

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Solution

The fourth proportional to 312,209.44, 430,846.48 and 168,966.56 is: 233,172.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,209.44 : 430,846.48 = 168,966.56 : x
  2. Step 2: Convert to fraction form
    312,209.44/430,846.48 = 168,966.56/x
  3. Step 3: Cross multiply
    312,209.44x = 430,846.48 × 168,966.56
  4. Step 4: Simplify right side
    312,209.44x = 72,798,647,613.71
  5. Step 5: Solve for x
    x = 72,798,647,613.71/312,209.44
  6. Step 6: Final answer
    x = 233,172.47

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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.