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Finding the Fourth Proportional to 368,902.65, 509,072.21 and 205,550.71

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Solution

The fourth proportional to 368,902.65, 509,072.21 and 205,550.71 is: 283,652.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,902.65 : 509,072.21 = 205,550.71 : x
  2. Step 2: Convert to fraction form
    368,902.65/509,072.21 = 205,550.71/x
  3. Step 3: Cross multiply
    368,902.65x = 509,072.21 × 205,550.71
  4. Step 4: Simplify right side
    368,902.65x = 104,640,154,206.77
  5. Step 5: Solve for x
    x = 104,640,154,206.77/368,902.65
  6. Step 6: Final answer
    x = 283,652.49

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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.