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Finding the Fourth Proportional to 312,048.40, 468,072.60 and 186,077.20

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Solution

The fourth proportional to 312,048.40, 468,072.60 and 186,077.20 is: 279,115.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,048.40 : 468,072.60 = 186,077.20 : x
  2. Step 2: Convert to fraction form
    312,048.40/468,072.60 = 186,077.20/x
  3. Step 3: Cross multiply
    312,048.40x = 468,072.60 × 186,077.20
  4. Step 4: Simplify right side
    312,048.40x = 87,097,638,804.72
  5. Step 5: Solve for x
    x = 87,097,638,804.72/312,048.40
  6. Step 6: Final answer
    x = 279,115.80

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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.