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Finding the Fourth Proportional to 323,971.25, 486,050.13 and 99,364.64

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Solution

The fourth proportional to 323,971.25, 486,050.13 and 99,364.64 is: 149,075.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,971.25 : 486,050.13 = 99,364.64 : x
  2. Step 2: Convert to fraction form
    323,971.25/486,050.13 = 99,364.64/x
  3. Step 3: Cross multiply
    323,971.25x = 486,050.13 × 99,364.64
  4. Step 4: Simplify right side
    323,971.25x = 48,296,193,759.15
  5. Step 5: Solve for x
    x = 48,296,193,759.15/323,971.25
  6. Step 6: Final answer
    x = 149,075.56

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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.