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Finding the Fourth Proportional to 205,233.20, 307,849.80 and 189,486.80

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Solution

The fourth proportional to 205,233.20, 307,849.80 and 189,486.80 is: 284,230.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,233.20 : 307,849.80 = 189,486.80 : x
  2. Step 2: Convert to fraction form
    205,233.20/307,849.80 = 189,486.80/x
  3. Step 3: Cross multiply
    205,233.20x = 307,849.80 × 189,486.80
  4. Step 4: Simplify right side
    205,233.20x = 58,333,473,482.64
  5. Step 5: Solve for x
    x = 58,333,473,482.64/205,233.20
  6. Step 6: Final answer
    x = 284,230.20

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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.