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Finding the Fourth Proportional to 206,435.94, 309,654.36 and 56,678.28

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Solution

The fourth proportional to 206,435.94, 309,654.36 and 56,678.28 is: 85,017.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,435.94 : 309,654.36 = 56,678.28 : x
  2. Step 2: Convert to fraction form
    206,435.94/309,654.36 = 56,678.28/x
  3. Step 3: Cross multiply
    206,435.94x = 309,654.36 × 56,678.28
  4. Step 4: Simplify right side
    206,435.94x = 17,550,676,519.30
  5. Step 5: Solve for x
    x = 17,550,676,519.30/206,435.94
  6. Step 6: Final answer
    x = 85,017.54

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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.