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Finding the Fourth Proportional to 405,735.62, 608,658.78 and 169,022.90

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Solution

The fourth proportional to 405,735.62, 608,658.78 and 169,022.90 is: 253,557.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,735.62 : 608,658.78 = 169,022.90 : x
  2. Step 2: Convert to fraction form
    405,735.62/608,658.78 = 169,022.90/x
  3. Step 3: Cross multiply
    405,735.62x = 608,658.78 × 169,022.90
  4. Step 4: Simplify right side
    405,735.62x = 102,877,272,106.06
  5. Step 5: Solve for x
    x = 102,877,272,106.06/405,735.62
  6. Step 6: Final answer
    x = 253,557.41

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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.