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Finding the Fourth Proportional to 311,839, 430,339.02 and 174,023.80

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Solution

The fourth proportional to 311,839, 430,339.02 and 174,023.80 is: 240,153.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,839 : 430,339.02 = 174,023.80 : x
  2. Step 2: Convert to fraction form
    311,839/430,339.02 = 174,023.80/x
  3. Step 3: Cross multiply
    311,839x = 430,339.02 × 174,023.80
  4. Step 4: Simplify right side
    311,839x = 74,889,231,548.68
  5. Step 5: Solve for x
    x = 74,889,231,548.68/311,839
  6. Step 6: Final answer
    x = 240,153.51

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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.