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Finding the Fourth Proportional to 525,198.20, 787,813.47 and 205,337.30

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Solution

The fourth proportional to 525,198.20, 787,813.47 and 205,337.30 is: 308,012.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,198.20 : 787,813.47 = 205,337.30 : x
  2. Step 2: Convert to fraction form
    525,198.20/787,813.47 = 205,337.30/x
  3. Step 3: Cross multiply
    525,198.20x = 787,813.47 × 205,337.30
  4. Step 4: Simplify right side
    525,198.20x = 161,767,490,833.43
  5. Step 5: Solve for x
    x = 161,767,490,833.43/525,198.20
  6. Step 6: Final answer
    x = 308,012.27

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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.