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Finding the Fourth Proportional to 314,638.35, 434,361.87 and 213,199.89

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Solution

The fourth proportional to 314,638.35, 434,361.87 and 213,199.89 is: 294,324.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,638.35 : 434,361.87 = 213,199.89 : x
  2. Step 2: Convert to fraction form
    314,638.35/434,361.87 = 213,199.89/x
  3. Step 3: Cross multiply
    314,638.35x = 434,361.87 × 213,199.89
  4. Step 4: Simplify right side
    314,638.35x = 92,605,902,904.19
  5. Step 5: Solve for x
    x = 92,605,902,904.19/314,638.35
  6. Step 6: Final answer
    x = 294,324.91

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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.