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Finding the Fourth Proportional to 379,827.60, 569,827.80 and 221,974.80

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Solution

The fourth proportional to 379,827.60, 569,827.80 and 221,974.80 is: 333,012.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,827.60 : 569,827.80 = 221,974.80 : x
  2. Step 2: Convert to fraction form
    379,827.60/569,827.80 = 221,974.80/x
  3. Step 3: Cross multiply
    379,827.60x = 569,827.80 × 221,974.80
  4. Step 4: Simplify right side
    379,827.60x = 126,487,411,939.44
  5. Step 5: Solve for x
    x = 126,487,411,939.44/379,827.60
  6. Step 6: Final answer
    x = 333,012.69

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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.