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Finding the Fourth Proportional to 205,909.80, 307,494.36 and 203,683.20

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Solution

The fourth proportional to 205,909.80, 307,494.36 and 203,683.20 is: 304,169.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,909.80 : 307,494.36 = 203,683.20 : x
  2. Step 2: Convert to fraction form
    205,909.80/307,494.36 = 203,683.20/x
  3. Step 3: Cross multiply
    205,909.80x = 307,494.36 × 203,683.20
  4. Step 4: Simplify right side
    205,909.80x = 62,631,435,226.75
  5. Step 5: Solve for x
    x = 62,631,435,226.75/205,909.80
  6. Step 6: Final answer
    x = 304,169.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.