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Finding the Fourth Proportional to 420,692.76, 580,261.41 and 284,666.82

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Solution

The fourth proportional to 420,692.76, 580,261.41 and 284,666.82 is: 392,640.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,692.76 : 580,261.41 = 284,666.82 : x
  2. Step 2: Convert to fraction form
    420,692.76/580,261.41 = 284,666.82/x
  3. Step 3: Cross multiply
    420,692.76x = 580,261.41 × 284,666.82
  4. Step 4: Simplify right side
    420,692.76x = 165,181,170,353.42
  5. Step 5: Solve for x
    x = 165,181,170,353.42/420,692.76
  6. Step 6: Final answer
    x = 392,640.87

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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.