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Finding the Fourth Proportional to 266,907.36, 399,946.32 and 168,204

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Solution

The fourth proportional to 266,907.36, 399,946.32 and 168,204 is: 252,044.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,907.36 : 399,946.32 = 168,204 : x
  2. Step 2: Convert to fraction form
    266,907.36/399,946.32 = 168,204/x
  3. Step 3: Cross multiply
    266,907.36x = 399,946.32 × 168,204
  4. Step 4: Simplify right side
    266,907.36x = 67,272,570,809.28
  5. Step 5: Solve for x
    x = 67,272,570,809.28/266,907.36
  6. Step 6: Final answer
    x = 252,044.65

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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.