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Finding the Fourth Proportional to 311,779.38, 430,255.86 and 168,539.46

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Solution

The fourth proportional to 311,779.38, 430,255.86 and 168,539.46 is: 232,584.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,779.38 : 430,255.86 = 168,539.46 : x
  2. Step 2: Convert to fraction form
    311,779.38/430,255.86 = 168,539.46/x
  3. Step 3: Cross multiply
    311,779.38x = 430,255.86 × 168,539.46
  4. Step 4: Simplify right side
    311,779.38x = 72,515,090,306.24
  5. Step 5: Solve for x
    x = 72,515,090,306.24/311,779.38
  6. Step 6: Final answer
    x = 232,584.63

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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.