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Finding the Fourth Proportional to 405,716.80, 608,445.60 and 169,002.40

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Solution

The fourth proportional to 405,716.80, 608,445.60 and 169,002.40 is: 253,449.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,716.80 : 608,445.60 = 169,002.40 : x
  2. Step 2: Convert to fraction form
    405,716.80/608,445.60 = 169,002.40/x
  3. Step 3: Cross multiply
    405,716.80x = 608,445.60 × 169,002.40
  4. Step 4: Simplify right side
    405,716.80x = 102,828,766,669.44
  5. Step 5: Solve for x
    x = 102,828,766,669.44/405,716.80
  6. Step 6: Final answer
    x = 253,449.61

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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.