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Finding the Fourth Proportional to 647,819.48, 971,729.22 and 332,075

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Solution

The fourth proportional to 647,819.48, 971,729.22 and 332,075 is: 498,112.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,819.48 : 971,729.22 = 332,075 : x
  2. Step 2: Convert to fraction form
    647,819.48/971,729.22 = 332,075/x
  3. Step 3: Cross multiply
    647,819.48x = 971,729.22 × 332,075
  4. Step 4: Simplify right side
    647,819.48x = 322,686,980,731.50
  5. Step 5: Solve for x
    x = 322,686,980,731.50/647,819.48
  6. Step 6: Final answer
    x = 498,112.50

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Similar ratio
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1.5x scale

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.