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Finding the Fourth Proportional to 419,512.80, 579,142.26 and 284,261.52

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Solution

The fourth proportional to 419,512.80, 579,142.26 and 284,261.52 is: 392,426.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,512.80 : 579,142.26 = 284,261.52 : x
  2. Step 2: Convert to fraction form
    419,512.80/579,142.26 = 284,261.52/x
  3. Step 3: Cross multiply
    419,512.80x = 579,142.26 × 284,261.52
  4. Step 4: Simplify right side
    419,512.80x = 164,627,859,123.84
  5. Step 5: Solve for x
    x = 164,627,859,123.84/419,512.80
  6. Step 6: Final answer
    x = 392,426.31

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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.