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Finding the Fourth Proportional to 420,907.35, 580,830.48 and 229,883.84

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Solution

The fourth proportional to 420,907.35, 580,830.48 and 229,883.84 is: 317,227.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,907.35 : 580,830.48 = 229,883.84 : x
  2. Step 2: Convert to fraction form
    420,907.35/580,830.48 = 229,883.84/x
  3. Step 3: Cross multiply
    420,907.35x = 580,830.48 × 229,883.84
  4. Step 4: Simplify right side
    420,907.35x = 133,523,540,405.41
  5. Step 5: Solve for x
    x = 133,523,540,405.41/420,907.35
  6. Step 6: Final answer
    x = 317,227.86

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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.