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Finding the Fourth Proportional to 268,404.70, 402,261.45 and 205,764.70

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Solution

The fourth proportional to 268,404.70, 402,261.45 and 205,764.70 is: 308,382.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,404.70 : 402,261.45 = 205,764.70 : x
  2. Step 2: Convert to fraction form
    268,404.70/402,261.45 = 205,764.70/x
  3. Step 3: Cross multiply
    268,404.70x = 402,261.45 × 205,764.70
  4. Step 4: Simplify right side
    268,404.70x = 82,771,206,580.82
  5. Step 5: Solve for x
    x = 82,771,206,580.82/268,404.70
  6. Step 6: Final answer
    x = 308,382.11

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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.