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Finding the Fourth Proportional to 655,804.72, 983,742.34 and 206,560.74

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Solution

The fourth proportional to 655,804.72, 983,742.34 and 206,560.74 is: 309,852.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,804.72 : 983,742.34 = 206,560.74 : x
  2. Step 2: Convert to fraction form
    655,804.72/983,742.34 = 206,560.74/x
  3. Step 3: Cross multiply
    655,804.72x = 983,742.34 × 206,560.74
  4. Step 4: Simplify right side
    655,804.72x = 203,202,545,719.73
  5. Step 5: Solve for x
    x = 203,202,545,719.73/655,804.72
  6. Step 6: Final answer
    x = 309,852.22

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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.