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Finding the Fourth Proportional to 655,802.71, 983,739.33 and 206,558.74

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Solution

The fourth proportional to 655,802.71, 983,739.33 and 206,558.74 is: 309,849.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,802.71 : 983,739.33 = 206,558.74 : x
  2. Step 2: Convert to fraction form
    655,802.71/983,739.33 = 206,558.74/x
  3. Step 3: Cross multiply
    655,802.71x = 983,739.33 × 206,558.74
  4. Step 4: Simplify right side
    655,802.71x = 203,199,957,722.92
  5. Step 5: Solve for x
    x = 203,199,957,722.92/655,802.71
  6. Step 6: Final answer
    x = 309,849.22

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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.