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Finding the Fourth Proportional to 313,965.83, 433,263.84 and 178,012.80

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Solution

The fourth proportional to 313,965.83, 433,263.84 and 178,012.80 is: 245,652.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,965.83 : 433,263.84 = 178,012.80 : x
  2. Step 2: Convert to fraction form
    313,965.83/433,263.84 = 178,012.80/x
  3. Step 3: Cross multiply
    313,965.83x = 433,263.84 × 178,012.80
  4. Step 4: Simplify right side
    313,965.83x = 77,126,509,297.15
  5. Step 5: Solve for x
    x = 77,126,509,297.15/313,965.83
  6. Step 6: Final answer
    x = 245,652.56

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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.