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Finding the Fourth Proportional to 541,415.42, 747,144.20 and 299,692.80

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Solution

The fourth proportional to 541,415.42, 747,144.20 and 299,692.80 is: 413,571.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,415.42 : 747,144.20 = 299,692.80 : x
  2. Step 2: Convert to fraction form
    541,415.42/747,144.20 = 299,692.80/x
  3. Step 3: Cross multiply
    541,415.42x = 747,144.20 × 299,692.80
  4. Step 4: Simplify right side
    541,415.42x = 223,913,737,301.76
  5. Step 5: Solve for x
    x = 223,913,737,301.76/541,415.42
  6. Step 6: Final answer
    x = 413,571.04

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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.