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Finding the Fourth Proportional to 287,242.84, 396,416.19 and 205,578.76

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Solution

The fourth proportional to 287,242.84, 396,416.19 and 205,578.76 is: 283,713.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,242.84 : 396,416.19 = 205,578.76 : x
  2. Step 2: Convert to fraction form
    287,242.84/396,416.19 = 205,578.76/x
  3. Step 3: Cross multiply
    287,242.84x = 396,416.19 × 205,578.76
  4. Step 4: Simplify right side
    287,242.84x = 81,494,747,793.08
  5. Step 5: Solve for x
    x = 81,494,747,793.08/287,242.84
  6. Step 6: Final answer
    x = 283,713.77

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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.