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Finding the Fourth Proportional to 417,821.82, 576,022.84 and 286,995.48

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Solution

The fourth proportional to 417,821.82, 576,022.84 and 286,995.48 is: 395,661.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,821.82 : 576,022.84 = 286,995.48 : x
  2. Step 2: Convert to fraction form
    417,821.82/576,022.84 = 286,995.48/x
  3. Step 3: Cross multiply
    417,821.82x = 576,022.84 × 286,995.48
  4. Step 4: Simplify right side
    417,821.82x = 165,315,951,456.76
  5. Step 5: Solve for x
    x = 165,315,951,456.76/417,821.82
  6. Step 6: Final answer
    x = 395,661.36

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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.