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Finding the Fourth Proportional to 311,465.25, 467,150.49 and 86,802.03

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Solution

The fourth proportional to 311,465.25, 467,150.49 and 86,802.03 is: 130,189.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,465.25 : 467,150.49 = 86,802.03 : x
  2. Step 2: Convert to fraction form
    311,465.25/467,150.49 = 86,802.03/x
  3. Step 3: Cross multiply
    311,465.25x = 467,150.49 × 86,802.03
  4. Step 4: Simplify right side
    311,465.25x = 40,549,610,847.49
  5. Step 5: Solve for x
    x = 40,549,610,847.49/311,465.25
  6. Step 6: Final answer
    x = 130,189.84

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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.