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Finding the Fourth Proportional to 290,470.93, 400,841.87 and 161,406.07

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Solution

The fourth proportional to 290,470.93, 400,841.87 and 161,406.07 is: 222,735.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,470.93 : 400,841.87 = 161,406.07 : x
  2. Step 2: Convert to fraction form
    290,470.93/400,841.87 = 161,406.07/x
  3. Step 3: Cross multiply
    290,470.93x = 400,841.87 × 161,406.07
  4. Step 4: Simplify right side
    290,470.93x = 64,698,309,119.02
  5. Step 5: Solve for x
    x = 64,698,309,119.02/290,470.93
  6. Step 6: Final answer
    x = 222,735.92

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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.