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Finding the Fourth Proportional to 312,006.12, 468,079.64 and 98,786.98

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Solution

The fourth proportional to 312,006.12, 468,079.64 and 98,786.98 is: 148,202.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,006.12 : 468,079.64 = 98,786.98 : x
  2. Step 2: Convert to fraction form
    312,006.12/468,079.64 = 98,786.98/x
  3. Step 3: Cross multiply
    312,006.12x = 468,079.64 × 98,786.98
  4. Step 4: Simplify right side
    312,006.12x = 46,240,174,035.09
  5. Step 5: Solve for x
    x = 46,240,174,035.09/312,006.12
  6. Step 6: Final answer
    x = 148,202.78

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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.