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Finding the Fourth Proportional to 354,412.80, 489,091.20 and 211,244.80

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Solution

The fourth proportional to 354,412.80, 489,091.20 and 211,244.80 is: 291,518.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,412.80 : 489,091.20 = 211,244.80 : x
  2. Step 2: Convert to fraction form
    354,412.80/489,091.20 = 211,244.80/x
  3. Step 3: Cross multiply
    354,412.80x = 489,091.20 × 211,244.80
  4. Step 4: Simplify right side
    354,412.80x = 103,317,972,725.76
  5. Step 5: Solve for x
    x = 103,317,972,725.76/354,412.80
  6. Step 6: Final answer
    x = 291,518.74

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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.