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Finding the Fourth Proportional to 655,775.42, 983,698 and 206,531.42

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Solution

The fourth proportional to 655,775.42, 983,698 and 206,531.42 is: 309,808.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,775.42 : 983,698 = 206,531.42 : x
  2. Step 2: Convert to fraction form
    655,775.42/983,698 = 206,531.42/x
  3. Step 3: Cross multiply
    655,775.42x = 983,698 × 206,531.42
  4. Step 4: Simplify right side
    655,775.42x = 203,164,544,791.16
  5. Step 5: Solve for x
    x = 203,164,544,791.16/655,775.42
  6. Step 6: Final answer
    x = 309,808.11

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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.