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Finding the Fourth Proportional to 290,039.14, 400,219.05 and 160,976.98

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Solution

The fourth proportional to 290,039.14, 400,219.05 and 160,976.98 is: 222,128.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,039.14 : 400,219.05 = 160,976.98 : x
  2. Step 2: Convert to fraction form
    290,039.14/400,219.05 = 160,976.98/x
  3. Step 3: Cross multiply
    290,039.14x = 400,219.05 × 160,976.98
  4. Step 4: Simplify right side
    290,039.14x = 64,426,054,007.47
  5. Step 5: Solve for x
    x = 64,426,054,007.47/290,039.14
  6. Step 6: Final answer
    x = 222,128.83

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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.