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Finding the Fourth Proportional to 311,509.09, 467,256.93 and 86,863.54

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Solution

The fourth proportional to 311,509.09, 467,256.93 and 86,863.54 is: 130,293.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,509.09 : 467,256.93 = 86,863.54 : x
  2. Step 2: Convert to fraction form
    311,509.09/467,256.93 = 86,863.54/x
  3. Step 3: Cross multiply
    311,509.09x = 467,256.93 × 86,863.54
  4. Step 4: Simplify right side
    311,509.09x = 40,587,590,655.86
  5. Step 5: Solve for x
    x = 40,587,590,655.86/311,509.09
  6. Step 6: Final answer
    x = 130,293.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.