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Finding the Fourth Proportional to 655,783.90, 983,710.78 and 206,539.88

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Solution

The fourth proportional to 655,783.90, 983,710.78 and 206,539.88 is: 309,820.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,783.90 : 983,710.78 = 206,539.88 : x
  2. Step 2: Convert to fraction form
    655,783.90/983,710.78 = 206,539.88/x
  3. Step 3: Cross multiply
    655,783.90x = 983,710.78 × 206,539.88
  4. Step 4: Simplify right side
    655,783.90x = 203,175,501,021.00
  5. Step 5: Solve for x
    x = 203,175,501,021.00/655,783.90
  6. Step 6: Final answer
    x = 309,820.81

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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.