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Finding the Fourth Proportional to 313,885.56, 433,256.94 and 213,341.88

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Solution

The fourth proportional to 313,885.56, 433,256.94 and 213,341.88 is: 294,476.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,885.56 : 433,256.94 = 213,341.88 : x
  2. Step 2: Convert to fraction form
    313,885.56/433,256.94 = 213,341.88/x
  3. Step 3: Cross multiply
    313,885.56x = 433,256.94 × 213,341.88
  4. Step 4: Simplify right side
    313,885.56x = 92,431,850,102.65
  5. Step 5: Solve for x
    x = 92,431,850,102.65/313,885.56
  6. Step 6: Final answer
    x = 294,476.27

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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.