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Finding the Fourth Proportional to 282,406.50, 389,720.97 and 155,084.22

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Solution

The fourth proportional to 282,406.50, 389,720.97 and 155,084.22 is: 214,016.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,406.50 : 389,720.97 = 155,084.22 : x
  2. Step 2: Convert to fraction form
    282,406.50/389,720.97 = 155,084.22/x
  3. Step 3: Cross multiply
    282,406.50x = 389,720.97 × 155,084.22
  4. Step 4: Simplify right side
    282,406.50x = 60,439,572,650.09
  5. Step 5: Solve for x
    x = 60,439,572,650.09/282,406.50
  6. Step 6: Final answer
    x = 214,016.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.