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Finding the Fourth Proportional to 522,246.84, 783,326.52 and 206,619

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Solution

The fourth proportional to 522,246.84, 783,326.52 and 206,619 is: 309,911.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,246.84 : 783,326.52 = 206,619 : x
  2. Step 2: Convert to fraction form
    522,246.84/783,326.52 = 206,619/x
  3. Step 3: Cross multiply
    522,246.84x = 783,326.52 × 206,619
  4. Step 4: Simplify right side
    522,246.84x = 161,850,142,235.88
  5. Step 5: Solve for x
    x = 161,850,142,235.88/522,246.84
  6. Step 6: Final answer
    x = 309,911.19

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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.