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Finding the Fourth Proportional to 486,084, 729,450 and 186,811.68

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Solution

The fourth proportional to 486,084, 729,450 and 186,811.68 is: 280,342.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,084 : 729,450 = 186,811.68 : x
  2. Step 2: Convert to fraction form
    486,084/729,450 = 186,811.68/x
  3. Step 3: Cross multiply
    486,084x = 729,450 × 186,811.68
  4. Step 4: Simplify right side
    486,084x = 136,269,779,976
  5. Step 5: Solve for x
    x = 136,269,779,976/486,084
  6. Step 6: Final answer
    x = 280,342.04

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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.