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Finding the Fourth Proportional to 311,510.87, 467,259.60 and 86,865.32

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Solution

The fourth proportional to 311,510.87, 467,259.60 and 86,865.32 is: 130,296.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,510.87 : 467,259.60 = 86,865.32 : x
  2. Step 2: Convert to fraction form
    311,510.87/467,259.60 = 86,865.32/x
  3. Step 3: Cross multiply
    311,510.87x = 467,259.60 × 86,865.32
  4. Step 4: Simplify right side
    311,510.87x = 40,588,655,519.48
  5. Step 5: Solve for x
    x = 40,588,655,519.48/311,510.87
  6. Step 6: Final answer
    x = 130,296.11

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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.