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Finding the Fourth Proportional to 312,570.06, 468,077.49 and 218,635.98

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Solution

The fourth proportional to 312,570.06, 468,077.49 and 218,635.98 is: 327,410.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,570.06 : 468,077.49 = 218,635.98 : x
  2. Step 2: Convert to fraction form
    312,570.06/468,077.49 = 218,635.98/x
  3. Step 3: Cross multiply
    312,570.06x = 468,077.49 × 218,635.98
  4. Step 4: Simplify right side
    312,570.06x = 102,338,580,742.09
  5. Step 5: Solve for x
    x = 102,338,580,742.09/312,570.06
  6. Step 6: Final answer
    x = 327,410.06

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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.