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Finding the Fourth Proportional to 311,843, 430,342.97 and 168,602.70

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Solution

The fourth proportional to 311,843, 430,342.97 and 168,602.70 is: 232,671.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,843 : 430,342.97 = 168,602.70 : x
  2. Step 2: Convert to fraction form
    311,843/430,342.97 = 168,602.70/x
  3. Step 3: Cross multiply
    311,843x = 430,342.97 × 168,602.70
  4. Step 4: Simplify right side
    311,843x = 72,556,986,668.02
  5. Step 5: Solve for x
    x = 72,556,986,668.02/311,843
  6. Step 6: Final answer
    x = 232,671.53

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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.