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Finding the Fourth Proportional to 277,299.72, 382,673.87 and 149,975.31

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Solution

The fourth proportional to 277,299.72, 382,673.87 and 149,975.31 is: 206,966.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,299.72 : 382,673.87 = 149,975.31 : x
  2. Step 2: Convert to fraction form
    277,299.72/382,673.87 = 149,975.31/x
  3. Step 3: Cross multiply
    277,299.72x = 382,673.87 × 149,975.31
  4. Step 4: Simplify right side
    277,299.72x = 57,391,633,529.71
  5. Step 5: Solve for x
    x = 57,391,633,529.71/277,299.72
  6. Step 6: Final answer
    x = 206,966.07

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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.