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Finding the Fourth Proportional to 282,039.75, 389,214.87 and 154,715.64

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Solution

The fourth proportional to 282,039.75, 389,214.87 and 154,715.64 is: 213,507.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,039.75 : 389,214.87 = 154,715.64 : x
  2. Step 2: Convert to fraction form
    282,039.75/389,214.87 = 154,715.64/x
  3. Step 3: Cross multiply
    282,039.75x = 389,214.87 × 154,715.64
  4. Step 4: Simplify right side
    282,039.75x = 60,217,627,709.57
  5. Step 5: Solve for x
    x = 60,217,627,709.57/282,039.75
  6. Step 6: Final answer
    x = 213,507.59

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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.