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Finding the Fourth Proportional to 301,131.20, 451,696.80 and 101,385.20

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Solution

The fourth proportional to 301,131.20, 451,696.80 and 101,385.20 is: 152,077.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,131.20 : 451,696.80 = 101,385.20 : x
  2. Step 2: Convert to fraction form
    301,131.20/451,696.80 = 101,385.20/x
  3. Step 3: Cross multiply
    301,131.20x = 451,696.80 × 101,385.20
  4. Step 4: Simplify right side
    301,131.20x = 45,795,370,407.36
  5. Step 5: Solve for x
    x = 45,795,370,407.36/301,131.20
  6. Step 6: Final answer
    x = 152,077.80

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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.