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Finding the Fourth Proportional to 287,873.63, 397,265.61 and 160,546.49

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Solution

The fourth proportional to 287,873.63, 397,265.61 and 160,546.49 is: 221,554.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,873.63 : 397,265.61 = 160,546.49 : x
  2. Step 2: Convert to fraction form
    287,873.63/397,265.61 = 160,546.49/x
  3. Step 3: Cross multiply
    287,873.63x = 397,265.61 × 160,546.49
  4. Step 4: Simplify right side
    287,873.63x = 63,779,597,296.88
  5. Step 5: Solve for x
    x = 63,779,597,296.88/287,873.63
  6. Step 6: Final answer
    x = 221,554.15

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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.