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Finding the Fourth Proportional to 655,315.86, 983,145.47 and 206,018.58

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Solution

The fourth proportional to 655,315.86, 983,145.47 and 206,018.58 is: 309,081.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,315.86 : 983,145.47 = 206,018.58 : x
  2. Step 2: Convert to fraction form
    655,315.86/983,145.47 = 206,018.58/x
  3. Step 3: Cross multiply
    655,315.86x = 983,145.47 × 206,018.58
  4. Step 4: Simplify right side
    655,315.86x = 202,546,233,662.83
  5. Step 5: Solve for x
    x = 202,546,233,662.83/655,315.86
  6. Step 6: Final answer
    x = 309,081.84

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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.