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Finding the Fourth Proportional to 297,412, 410,431.44 and 163,278.88

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Solution

The fourth proportional to 297,412, 410,431.44 and 163,278.88 is: 225,326.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,412 : 410,431.44 = 163,278.88 : x
  2. Step 2: Convert to fraction form
    297,412/410,431.44 = 163,278.88/x
  3. Step 3: Cross multiply
    297,412x = 410,431.44 × 163,278.88
  4. Step 4: Simplify right side
    297,412x = 67,014,785,839.99
  5. Step 5: Solve for x
    x = 67,014,785,839.99/297,412
  6. Step 6: Final answer
    x = 225,326.44

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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.