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Finding the Fourth Proportional to 405,539.68, 608,219.16 and 117,288.16

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Solution

The fourth proportional to 405,539.68, 608,219.16 and 117,288.16 is: 175,906.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,539.68 : 608,219.16 = 117,288.16 : x
  2. Step 2: Convert to fraction form
    405,539.68/608,219.16 = 117,288.16/x
  3. Step 3: Cross multiply
    405,539.68x = 608,219.16 × 117,288.16
  4. Step 4: Simplify right side
    405,539.68x = 71,336,906,153.15
  5. Step 5: Solve for x
    x = 71,336,906,153.15/405,539.68
  6. Step 6: Final answer
    x = 175,906.11

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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.