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Finding the Fourth Proportional to 310,321, 465,481.50 and 113,329

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Solution

The fourth proportional to 310,321, 465,481.50 and 113,329 is: 169,993.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,321 : 465,481.50 = 113,329 : x
  2. Step 2: Convert to fraction form
    310,321/465,481.50 = 113,329/x
  3. Step 3: Cross multiply
    310,321x = 465,481.50 × 113,329
  4. Step 4: Simplify right side
    310,321x = 52,752,552,913.50
  5. Step 5: Solve for x
    x = 52,752,552,913.50/310,321
  6. Step 6: Final answer
    x = 169,993.50

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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.