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Finding the Fourth Proportional to 417,980.90, 576,990.12 and 282,198.68

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Solution

The fourth proportional to 417,980.90, 576,990.12 and 282,198.68 is: 389,553.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,980.90 : 576,990.12 = 282,198.68 : x
  2. Step 2: Convert to fraction form
    417,980.90/576,990.12 = 282,198.68/x
  3. Step 3: Cross multiply
    417,980.90x = 576,990.12 × 282,198.68
  4. Step 4: Simplify right side
    417,980.90x = 162,825,850,237.04
  5. Step 5: Solve for x
    x = 162,825,850,237.04/417,980.90
  6. Step 6: Final answer
    x = 389,553.33

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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.