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Finding the Fourth Proportional to 281,702.09, 422,419.47 and 163,409.69

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Solution

The fourth proportional to 281,702.09, 422,419.47 and 163,409.69 is: 245,037.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,702.09 : 422,419.47 = 163,409.69 : x
  2. Step 2: Convert to fraction form
    281,702.09/422,419.47 = 163,409.69/x
  3. Step 3: Cross multiply
    281,702.09x = 422,419.47 × 163,409.69
  4. Step 4: Simplify right side
    281,702.09x = 69,027,432,530.57
  5. Step 5: Solve for x
    x = 69,027,432,530.57/281,702.09
  6. Step 6: Final answer
    x = 245,037.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.