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Finding the Fourth Proportional to 379,702.82, 569,273.02 and 229,907.90

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Solution

The fourth proportional to 379,702.82, 569,273.02 and 229,907.90 is: 344,691.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,702.82 : 569,273.02 = 229,907.90 : x
  2. Step 2: Convert to fraction form
    379,702.82/569,273.02 = 229,907.90/x
  3. Step 3: Cross multiply
    379,702.82x = 569,273.02 × 229,907.90
  4. Step 4: Simplify right side
    379,702.82x = 130,880,361,133.72
  5. Step 5: Solve for x
    x = 130,880,361,133.72/379,702.82
  6. Step 6: Final answer
    x = 344,691.57

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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.