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Finding the Fourth Proportional to 311,510.75, 467,259.41 and 86,865.20

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Solution

The fourth proportional to 311,510.75, 467,259.41 and 86,865.20 is: 130,295.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,510.75 : 467,259.41 = 86,865.20 : x
  2. Step 2: Convert to fraction form
    311,510.75/467,259.41 = 86,865.20/x
  3. Step 3: Cross multiply
    311,510.75x = 467,259.41 × 86,865.20
  4. Step 4: Simplify right side
    311,510.75x = 40,588,579,765.24
  5. Step 5: Solve for x
    x = 40,588,579,765.24/311,510.75
  6. Step 6: Final answer
    x = 130,295.92

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1.5x scale

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.