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Finding the Fourth Proportional to 405,612.84, 608,786.88 and 216,231.96

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Solution

The fourth proportional to 405,612.84, 608,786.88 and 216,231.96 is: 324,543.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,612.84 : 608,786.88 = 216,231.96 : x
  2. Step 2: Convert to fraction form
    405,612.84/608,786.88 = 216,231.96/x
  3. Step 3: Cross multiply
    405,612.84x = 608,786.88 × 216,231.96
  4. Step 4: Simplify right side
    405,612.84x = 131,639,180,284.69
  5. Step 5: Solve for x
    x = 131,639,180,284.69/405,612.84
  6. Step 6: Final answer
    x = 324,543.92

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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.