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Finding the Fourth Proportional to 312,076.71, 430,668.97 and 168,839.82

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Solution

The fourth proportional to 312,076.71, 430,668.97 and 168,839.82 is: 233,000.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,076.71 : 430,668.97 = 168,839.82 : x
  2. Step 2: Convert to fraction form
    312,076.71/430,668.97 = 168,839.82/x
  3. Step 3: Cross multiply
    312,076.71x = 430,668.97 × 168,839.82
  4. Step 4: Simplify right side
    312,076.71x = 72,714,072,028.96
  5. Step 5: Solve for x
    x = 72,714,072,028.96/312,076.71
  6. Step 6: Final answer
    x = 233,000.64

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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.