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Finding the Fourth Proportional to 285,970.94, 394,280.83 and 209,357.03

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Solution

The fourth proportional to 285,970.94, 394,280.83 and 209,357.03 is: 288,649.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,970.94 : 394,280.83 = 209,357.03 : x
  2. Step 2: Convert to fraction form
    285,970.94/394,280.83 = 209,357.03/x
  3. Step 3: Cross multiply
    285,970.94x = 394,280.83 × 209,357.03
  4. Step 4: Simplify right side
    285,970.94x = 82,545,462,276.80
  5. Step 5: Solve for x
    x = 82,545,462,276.80/285,970.94
  6. Step 6: Final answer
    x = 288,649.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.