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Finding the Fourth Proportional to 321,962, 482,969.64 and 100,346

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Solution

The fourth proportional to 321,962, 482,969.64 and 100,346 is: 150,527.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,962 : 482,969.64 = 100,346 : x
  2. Step 2: Convert to fraction form
    321,962/482,969.64 = 100,346/x
  3. Step 3: Cross multiply
    321,962x = 482,969.64 × 100,346
  4. Step 4: Simplify right side
    321,962x = 48,464,071,495.44
  5. Step 5: Solve for x
    x = 48,464,071,495.44/321,962
  6. Step 6: Final answer
    x = 150,527.30

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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.