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Finding the Fourth Proportional to 297,400.63, 410,401.74 and 161,431.65

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Solution

The fourth proportional to 297,400.63, 410,401.74 and 161,431.65 is: 222,769.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,400.63 : 410,401.74 = 161,431.65 : x
  2. Step 2: Convert to fraction form
    297,400.63/410,401.74 = 161,431.65/x
  3. Step 3: Cross multiply
    297,400.63x = 410,401.74 × 161,431.65
  4. Step 4: Simplify right side
    297,400.63x = 66,251,830,051.07
  5. Step 5: Solve for x
    x = 66,251,830,051.07/297,400.63
  6. Step 6: Final answer
    x = 222,769.64

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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.