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Finding the Fourth Proportional to 297,409, 410,427.30 and 163,275.88

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Solution

The fourth proportional to 297,409, 410,427.30 and 163,275.88 is: 225,322.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,409 : 410,427.30 = 163,275.88 : x
  2. Step 2: Convert to fraction form
    297,409/410,427.30 = 163,275.88/x
  3. Step 3: Cross multiply
    297,409x = 410,427.30 × 163,275.88
  4. Step 4: Simplify right side
    297,409x = 67,012,878,583.52
  5. Step 5: Solve for x
    x = 67,012,878,583.52/297,409
  6. Step 6: Final answer
    x = 225,322.30

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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.