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Finding the Fourth Proportional to 874,405.40, 1,311,608.10 and 314,072.60

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Solution

The fourth proportional to 874,405.40, 1,311,608.10 and 314,072.60 is: 471,108.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    874,405.40 : 1,311,608.10 = 314,072.60 : x
  2. Step 2: Convert to fraction form
    874,405.40/1,311,608.10 = 314,072.60/x
  3. Step 3: Cross multiply
    874,405.40x = 1,311,608.10 × 314,072.60
  4. Step 4: Simplify right side
    874,405.40x = 411,940,166,148.06
  5. Step 5: Solve for x
    x = 411,940,166,148.06/874,405.40
  6. Step 6: Final answer
    x = 471,108.90

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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.