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Finding the Fourth Proportional to 313,994.30, 433,321.88 and 178,033.98

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Solution

The fourth proportional to 313,994.30, 433,321.88 and 178,033.98 is: 245,692.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,994.30 : 433,321.88 = 178,033.98 : x
  2. Step 2: Convert to fraction form
    313,994.30/433,321.88 = 178,033.98/x
  3. Step 3: Cross multiply
    313,994.30x = 433,321.88 × 178,033.98
  4. Step 4: Simplify right side
    313,994.30x = 77,146,018,917.48
  5. Step 5: Solve for x
    x = 77,146,018,917.48/313,994.30
  6. Step 6: Final answer
    x = 245,692.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.