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Finding the Fourth Proportional to 405,730.44, 608,651.01 and 169,017.75

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Solution

The fourth proportional to 405,730.44, 608,651.01 and 169,017.75 is: 253,549.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,730.44 : 608,651.01 = 169,017.75 : x
  2. Step 2: Convert to fraction form
    405,730.44/608,651.01 = 169,017.75/x
  3. Step 3: Cross multiply
    405,730.44x = 608,651.01 × 169,017.75
  4. Step 4: Simplify right side
    405,730.44x = 102,872,824,245.43
  5. Step 5: Solve for x
    x = 102,872,824,245.43/405,730.44
  6. Step 6: Final answer
    x = 253,549.68

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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.