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Finding the Fourth Proportional to 312,683.49, 469,020.29 and 99,448.33

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Solution

The fourth proportional to 312,683.49, 469,020.29 and 99,448.33 is: 149,170.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,683.49 : 469,020.29 = 99,448.33 : x
  2. Step 2: Convert to fraction form
    312,683.49/469,020.29 = 99,448.33/x
  3. Step 3: Cross multiply
    312,683.49x = 469,020.29 × 99,448.33
  4. Step 4: Simplify right side
    312,683.49x = 46,643,284,576.62
  5. Step 5: Solve for x
    x = 46,643,284,576.62/312,683.49
  6. Step 6: Final answer
    x = 149,170.92

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1.5x scale

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.