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Finding the Fourth Proportional to 268,412.70, 402,273.45 and 205,772.70

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Solution

The fourth proportional to 268,412.70, 402,273.45 and 205,772.70 is: 308,394.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,412.70 : 402,273.45 = 205,772.70 : x
  2. Step 2: Convert to fraction form
    268,412.70/402,273.45 = 205,772.70/x
  3. Step 3: Cross multiply
    268,412.70x = 402,273.45 × 205,772.70
  4. Step 4: Simplify right side
    268,412.70x = 82,776,893,944.82
  5. Step 5: Solve for x
    x = 82,776,893,944.82/268,412.70
  6. Step 6: Final answer
    x = 308,394.10

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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.