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Finding the Fourth Proportional to 679,698.76, 1,019,482.26 and 206,388.28

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Solution

The fourth proportional to 679,698.76, 1,019,482.26 and 206,388.28 is: 309,562.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    679,698.76 : 1,019,482.26 = 206,388.28 : x
  2. Step 2: Convert to fraction form
    679,698.76/1,019,482.26 = 206,388.28/x
  3. Step 3: Cross multiply
    679,698.76x = 1,019,482.26 × 206,388.28
  4. Step 4: Simplify right side
    679,698.76x = 210,409,190,131.91
  5. Step 5: Solve for x
    x = 210,409,190,131.91/679,698.76
  6. Step 6: Final answer
    x = 309,562.42

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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.