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Finding the Fourth Proportional to 268,051.70, 401,731.95 and 205,411.70

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Solution

The fourth proportional to 268,051.70, 401,731.95 and 205,411.70 is: 307,852.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,051.70 : 401,731.95 = 205,411.70 : x
  2. Step 2: Convert to fraction form
    268,051.70/401,731.95 = 205,411.70/x
  3. Step 3: Cross multiply
    268,051.70x = 401,731.95 × 205,411.70
  4. Step 4: Simplify right side
    268,051.70x = 82,520,442,793.82
  5. Step 5: Solve for x
    x = 82,520,442,793.82/268,051.70
  6. Step 6: Final answer
    x = 307,852.71

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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.