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Finding the Fourth Proportional to 320,821, 481,231.50 and 99,205

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Solution

The fourth proportional to 320,821, 481,231.50 and 99,205 is: 148,807.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,821 : 481,231.50 = 99,205 : x
  2. Step 2: Convert to fraction form
    320,821/481,231.50 = 99,205/x
  3. Step 3: Cross multiply
    320,821x = 481,231.50 × 99,205
  4. Step 4: Simplify right side
    320,821x = 47,740,570,957.50
  5. Step 5: Solve for x
    x = 47,740,570,957.50/320,821
  6. Step 6: Final answer
    x = 148,807.50

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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.