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Finding the Fourth Proportional to 282,406.51, 389,391.72 and 210,661.97

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Solution

The fourth proportional to 282,406.51, 389,391.72 and 210,661.97 is: 290,467.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,406.51 : 389,391.72 = 210,661.97 : x
  2. Step 2: Convert to fraction form
    282,406.51/389,391.72 = 210,661.97/x
  3. Step 3: Cross multiply
    282,406.51x = 389,391.72 × 210,661.97
  4. Step 4: Simplify right side
    282,406.51x = 82,030,027,475.25
  5. Step 5: Solve for x
    x = 82,030,027,475.25/282,406.51
  6. Step 6: Final answer
    x = 290,467.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.