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Finding the Fourth Proportional to 287,887.80, 397,156.68 and 166,959

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Solution

The fourth proportional to 287,887.80, 397,156.68 and 166,959 is: 230,328.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,887.80 : 397,156.68 = 166,959 : x
  2. Step 2: Convert to fraction form
    287,887.80/397,156.68 = 166,959/x
  3. Step 3: Cross multiply
    287,887.80x = 397,156.68 × 166,959
  4. Step 4: Simplify right side
    287,887.80x = 66,308,882,136.12
  5. Step 5: Solve for x
    x = 66,308,882,136.12/287,887.80
  6. Step 6: Final answer
    x = 230,328.91

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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.