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Finding the Fourth Proportional to 311,545.23, 467,321.59 and 86,891.98

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Solution

The fourth proportional to 311,545.23, 467,321.59 and 86,891.98 is: 130,339.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,545.23 : 467,321.59 = 86,891.98 : x
  2. Step 2: Convert to fraction form
    311,545.23/467,321.59 = 86,891.98/x
  3. Step 3: Cross multiply
    311,545.23x = 467,321.59 × 86,891.98
  4. Step 4: Simplify right side
    311,545.23x = 40,606,497,579.62
  5. Step 5: Solve for x
    x = 40,606,497,579.62/311,545.23
  6. Step 6: Final answer
    x = 130,339.01

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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.