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Finding the Fourth Proportional to 311,640.60, 430,063.82 and 168,400.58

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Solution

The fourth proportional to 311,640.60, 430,063.82 and 168,400.58 is: 232,392.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,640.60 : 430,063.82 = 168,400.58 : x
  2. Step 2: Convert to fraction form
    311,640.60/430,063.82 = 168,400.58/x
  3. Step 3: Cross multiply
    311,640.60x = 430,063.82 × 168,400.58
  4. Step 4: Simplify right side
    311,640.60x = 72,422,996,725.02
  5. Step 5: Solve for x
    x = 72,422,996,725.02/311,640.60
  6. Step 6: Final answer
    x = 232,392.69

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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.