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Finding the Fourth Proportional to 312,998.70, 469,532.06 and 99,716.64

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Solution

The fourth proportional to 312,998.70, 469,532.06 and 99,716.64 is: 149,585.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,998.70 : 469,532.06 = 99,716.64 : x
  2. Step 2: Convert to fraction form
    312,998.70/469,532.06 = 99,716.64/x
  3. Step 3: Cross multiply
    312,998.70x = 469,532.06 × 99,716.64
  4. Step 4: Simplify right side
    312,998.70x = 46,820,159,395.48
  5. Step 5: Solve for x
    x = 46,820,159,395.48/312,998.70
  6. Step 6: Final answer
    x = 149,585.80

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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.