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Finding the Fourth Proportional to 405,475.80, 608,463.83 and 205,939.38

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Solution

The fourth proportional to 405,475.80, 608,463.83 and 205,939.38 is: 309,036.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,475.80 : 608,463.83 = 205,939.38 : x
  2. Step 2: Convert to fraction form
    405,475.80/608,463.83 = 205,939.38/x
  3. Step 3: Cross multiply
    405,475.80x = 608,463.83 × 205,939.38
  4. Step 4: Simplify right side
    405,475.80x = 125,306,663,902.63
  5. Step 5: Solve for x
    x = 125,306,663,902.63/405,475.80
  6. Step 6: Final answer
    x = 309,036.11

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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.