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Finding the Fourth Proportional to 341,768.18, 512,361.47 and 208,741.76

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Solution

The fourth proportional to 341,768.18, 512,361.47 and 208,741.76 is: 312,935.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,768.18 : 512,361.47 = 208,741.76 : x
  2. Step 2: Convert to fraction form
    341,768.18/512,361.47 = 208,741.76/x
  3. Step 3: Cross multiply
    341,768.18x = 512,361.47 × 208,741.76
  4. Step 4: Simplify right side
    341,768.18x = 106,951,233,960.28
  5. Step 5: Solve for x
    x = 106,951,233,960.28/341,768.18
  6. Step 6: Final answer
    x = 312,935.03

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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.