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Finding the Fourth Proportional to 311,419.58, 429,758.96 and 168,179.60

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Solution

The fourth proportional to 311,419.58, 429,758.96 and 168,179.60 is: 232,087.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,419.58 : 429,758.96 = 168,179.60 : x
  2. Step 2: Convert to fraction form
    311,419.58/429,758.96 = 168,179.60/x
  3. Step 3: Cross multiply
    311,419.58x = 429,758.96 × 168,179.60
  4. Step 4: Simplify right side
    311,419.58x = 72,276,689,989.22
  5. Step 5: Solve for x
    x = 72,276,689,989.22/311,419.58
  6. Step 6: Final answer
    x = 232,087.82

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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.