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Finding the Fourth Proportional to 297,079.38, 409,969.76 and 161,113.32

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Solution

The fourth proportional to 297,079.38, 409,969.76 and 161,113.32 is: 222,336.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,079.38 : 409,969.76 = 161,113.32 : x
  2. Step 2: Convert to fraction form
    297,079.38/409,969.76 = 161,113.32/x
  3. Step 3: Cross multiply
    297,079.38x = 409,969.76 × 161,113.32
  4. Step 4: Simplify right side
    297,079.38x = 66,051,588,327.64
  5. Step 5: Solve for x
    x = 66,051,588,327.64/297,079.38
  6. Step 6: Final answer
    x = 222,336.50

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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.