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Finding the Fourth Proportional to 414,486.40, 621,729.60 and 288,515.20

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Solution

The fourth proportional to 414,486.40, 621,729.60 and 288,515.20 is: 432,772.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,486.40 : 621,729.60 = 288,515.20 : x
  2. Step 2: Convert to fraction form
    414,486.40/621,729.60 = 288,515.20/x
  3. Step 3: Cross multiply
    414,486.40x = 621,729.60 × 288,515.20
  4. Step 4: Simplify right side
    414,486.40x = 179,378,439,889.92
  5. Step 5: Solve for x
    x = 179,378,439,889.92/414,486.40
  6. Step 6: Final answer
    x = 432,772.80

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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.