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Finding the Fourth Proportional to 311,515.76, 467,266.91 and 86,870.21

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Solution

The fourth proportional to 311,515.76, 467,266.91 and 86,870.21 is: 130,303.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,515.76 : 467,266.91 = 86,870.21 : x
  2. Step 2: Convert to fraction form
    311,515.76/467,266.91 = 86,870.21/x
  3. Step 3: Cross multiply
    311,515.76x = 467,266.91 × 86,870.21
  4. Step 4: Simplify right side
    311,515.76x = 40,591,571,827.07
  5. Step 5: Solve for x
    x = 40,591,571,827.07/311,515.76
  6. Step 6: Final answer
    x = 130,303.43

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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.