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Finding the Fourth Proportional to 354,934.01, 489,819.75 and 201,994.20

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Solution

The fourth proportional to 354,934.01, 489,819.75 and 201,994.20 is: 278,758.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,934.01 : 489,819.75 = 201,994.20 : x
  2. Step 2: Convert to fraction form
    354,934.01/489,819.75 = 201,994.20/x
  3. Step 3: Cross multiply
    354,934.01x = 489,819.75 × 201,994.20
  4. Step 4: Simplify right side
    354,934.01x = 98,940,748,545.45
  5. Step 5: Solve for x
    x = 98,940,748,545.45/354,934.01
  6. Step 6: Final answer
    x = 278,758.15

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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.