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Finding the Fourth Proportional to 297,393.68, 410,394.12 and 161,421.20

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Solution

The fourth proportional to 297,393.68, 410,394.12 and 161,421.20 is: 222,756.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,393.68 : 410,394.12 = 161,421.20 : x
  2. Step 2: Convert to fraction form
    297,393.68/410,394.12 = 161,421.20/x
  3. Step 3: Cross multiply
    297,393.68x = 410,394.12 × 161,421.20
  4. Step 4: Simplify right side
    297,393.68x = 66,246,311,323.34
  5. Step 5: Solve for x
    x = 66,246,311,323.34/297,393.68
  6. Step 6: Final answer
    x = 222,756.28

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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.