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Finding the Fourth Proportional to 368,902.14, 509,071.51 and 205,550.21

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Solution

The fourth proportional to 368,902.14, 509,071.51 and 205,550.21 is: 283,651.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,902.14 : 509,071.51 = 205,550.21 : x
  2. Step 2: Convert to fraction form
    368,902.14/509,071.51 = 205,550.21/x
  3. Step 3: Cross multiply
    368,902.14x = 509,071.51 × 205,550.21
  4. Step 4: Simplify right side
    368,902.14x = 104,639,753,240.16
  5. Step 5: Solve for x
    x = 104,639,753,240.16/368,902.14
  6. Step 6: Final answer
    x = 283,651.79

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1.5x scale

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.