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Finding the Fourth Proportional to 519,141.40, 778,136.10 and 203,493.40

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Solution

The fourth proportional to 519,141.40, 778,136.10 and 203,493.40 is: 305,014.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,141.40 : 778,136.10 = 203,493.40 : x
  2. Step 2: Convert to fraction form
    519,141.40/778,136.10 = 203,493.40/x
  3. Step 3: Cross multiply
    519,141.40x = 778,136.10 × 203,493.40
  4. Step 4: Simplify right side
    519,141.40x = 158,345,560,651.74
  5. Step 5: Solve for x
    x = 158,345,560,651.74/519,141.40
  6. Step 6: Final answer
    x = 305,014.32

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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.