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Finding the Fourth Proportional to 280,649.88, 420,989.40 and 140,361.12

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Solution

The fourth proportional to 280,649.88, 420,989.40 and 140,361.12 is: 210,548.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,649.88 : 420,989.40 = 140,361.12 : x
  2. Step 2: Convert to fraction form
    280,649.88/420,989.40 = 140,361.12/x
  3. Step 3: Cross multiply
    280,649.88x = 420,989.40 × 140,361.12
  4. Step 4: Simplify right side
    280,649.88x = 59,090,543,692.13
  5. Step 5: Solve for x
    x = 59,090,543,692.13/280,649.88
  6. Step 6: Final answer
    x = 210,548.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.