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Finding the Fourth Proportional to 277,313.25, 382,692.42 and 149,988.81

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Solution

The fourth proportional to 277,313.25, 382,692.42 and 149,988.81 is: 206,984.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,313.25 : 382,692.42 = 149,988.81 : x
  2. Step 2: Convert to fraction form
    277,313.25/382,692.42 = 149,988.81/x
  3. Step 3: Cross multiply
    277,313.25x = 382,692.42 × 149,988.81
  4. Step 4: Simplify right side
    277,313.25x = 57,399,580,671.82
  5. Step 5: Solve for x
    x = 57,399,580,671.82/277,313.25
  6. Step 6: Final answer
    x = 206,984.63

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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.