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Finding the Fourth Proportional to 312,004.40, 467,999.40 and 101,640.80

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Solution

The fourth proportional to 312,004.40, 467,999.40 and 101,640.80 is: 152,458.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,004.40 : 467,999.40 = 101,640.80 : x
  2. Step 2: Convert to fraction form
    312,004.40/467,999.40 = 101,640.80/x
  3. Step 3: Cross multiply
    312,004.40x = 467,999.40 × 101,640.80
  4. Step 4: Simplify right side
    312,004.40x = 47,567,833,415.52
  5. Step 5: Solve for x
    x = 47,567,833,415.52/312,004.40
  6. Step 6: Final answer
    x = 152,458.85

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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.