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Finding the Fourth Proportional to 311,513.58, 467,263.67 and 86,868.05

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Solution

The fourth proportional to 311,513.58, 467,263.67 and 86,868.05 is: 130,300.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,513.58 : 467,263.67 = 86,868.05 : x
  2. Step 2: Convert to fraction form
    311,513.58/467,263.67 = 86,868.05/x
  3. Step 3: Cross multiply
    311,513.58x = 467,263.67 × 86,868.05
  4. Step 4: Simplify right side
    311,513.58x = 40,590,281,078.08
  5. Step 5: Solve for x
    x = 40,590,281,078.08/311,513.58
  6. Step 6: Final answer
    x = 130,300.20

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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.