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Finding the Fourth Proportional to 408,647, 612,970.50 and 113,159

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Solution

The fourth proportional to 408,647, 612,970.50 and 113,159 is: 169,738.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,647 : 612,970.50 = 113,159 : x
  2. Step 2: Convert to fraction form
    408,647/612,970.50 = 113,159/x
  3. Step 3: Cross multiply
    408,647x = 612,970.50 × 113,159
  4. Step 4: Simplify right side
    408,647x = 69,363,128,809.50
  5. Step 5: Solve for x
    x = 69,363,128,809.50/408,647
  6. Step 6: Final answer
    x = 169,738.50

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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.