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Finding the Fourth Proportional to 405,458.49, 608,286.91 and 285,749.01

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Solution

The fourth proportional to 405,458.49, 608,286.91 and 285,749.01 is: 428,693.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,458.49 : 608,286.91 = 285,749.01 : x
  2. Step 2: Convert to fraction form
    405,458.49/608,286.91 = 285,749.01/x
  3. Step 3: Cross multiply
    405,458.49x = 608,286.91 × 285,749.01
  4. Step 4: Simplify right side
    405,458.49x = 173,817,382,328.46
  5. Step 5: Solve for x
    x = 173,817,382,328.46/405,458.49
  6. Step 6: Final answer
    x = 428,693.41

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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.