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Finding the Fourth Proportional to 416,808.75, 624,214.13 and 213,870.81

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Solution

The fourth proportional to 416,808.75, 624,214.13 and 213,870.81 is: 320,293.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,808.75 : 624,214.13 = 213,870.81 : x
  2. Step 2: Convert to fraction form
    416,808.75/624,214.13 = 213,870.81/x
  3. Step 3: Cross multiply
    416,808.75x = 624,214.13 × 213,870.81
  4. Step 4: Simplify right side
    416,808.75x = 133,501,180,527.19
  5. Step 5: Solve for x
    x = 133,501,180,527.19/416,808.75
  6. Step 6: Final answer
    x = 320,293.61

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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.