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Finding the Fourth Proportional to 311,238.48, 429,707.73 and 254,014.50

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Solution

The fourth proportional to 311,238.48, 429,707.73 and 254,014.50 is: 350,702.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,238.48 : 429,707.73 = 254,014.50 : x
  2. Step 2: Convert to fraction form
    311,238.48/429,707.73 = 254,014.50/x
  3. Step 3: Cross multiply
    311,238.48x = 429,707.73 × 254,014.50
  4. Step 4: Simplify right side
    311,238.48x = 109,151,992,912.01
  5. Step 5: Solve for x
    x = 109,151,992,912.01/311,238.48
  6. Step 6: Final answer
    x = 350,702.11

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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.