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Finding the Fourth Proportional to 206,328.63, 309,436.86 and 56,532.78

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Solution

The fourth proportional to 206,328.63, 309,436.86 and 56,532.78 is: 84,783.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,328.63 : 309,436.86 = 56,532.78 : x
  2. Step 2: Convert to fraction form
    206,328.63/309,436.86 = 56,532.78/x
  3. Step 3: Cross multiply
    206,328.63x = 309,436.86 × 56,532.78
  4. Step 4: Simplify right side
    206,328.63x = 17,493,325,930.27
  5. Step 5: Solve for x
    x = 17,493,325,930.27/206,328.63
  6. Step 6: Final answer
    x = 84,783.80

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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.