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Finding the Fourth Proportional to 412,813.20, 618,928.20 and 188,281.20

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Solution

The fourth proportional to 412,813.20, 618,928.20 and 188,281.20 is: 282,288.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,813.20 : 618,928.20 = 188,281.20 : x
  2. Step 2: Convert to fraction form
    412,813.20/618,928.20 = 188,281.20/x
  3. Step 3: Cross multiply
    412,813.20x = 618,928.20 × 188,281.20
  4. Step 4: Simplify right side
    412,813.20x = 116,532,544,209.84
  5. Step 5: Solve for x
    x = 116,532,544,209.84/412,813.20
  6. Step 6: Final answer
    x = 282,288.80

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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.