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Finding the Fourth Proportional to 354,882.34, 489,708.21 and 201,879.82

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Solution

The fourth proportional to 354,882.34, 489,708.21 and 201,879.82 is: 278,577.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,882.34 : 489,708.21 = 201,879.82 : x
  2. Step 2: Convert to fraction form
    354,882.34/489,708.21 = 201,879.82/x
  3. Step 3: Cross multiply
    354,882.34x = 489,708.21 × 201,879.82
  4. Step 4: Simplify right side
    354,882.34x = 98,862,205,287.32
  5. Step 5: Solve for x
    x = 98,862,205,287.32/354,882.34
  6. Step 6: Final answer
    x = 278,577.42

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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.