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Finding the Fourth Proportional to 213,083.20, 319,624.80 and 171,092.80

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Solution

The fourth proportional to 213,083.20, 319,624.80 and 171,092.80 is: 256,639.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,083.20 : 319,624.80 = 171,092.80 : x
  2. Step 2: Convert to fraction form
    213,083.20/319,624.80 = 171,092.80/x
  3. Step 3: Cross multiply
    213,083.20x = 319,624.80 × 171,092.80
  4. Step 4: Simplify right side
    213,083.20x = 54,685,501,981.44
  5. Step 5: Solve for x
    x = 54,685,501,981.44/213,083.20
  6. Step 6: Final answer
    x = 256,639.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.