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Finding the Fourth Proportional to 253,496.80, 380,245.20 and 160,415.20

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Solution

The fourth proportional to 253,496.80, 380,245.20 and 160,415.20 is: 240,622.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,496.80 : 380,245.20 = 160,415.20 : x
  2. Step 2: Convert to fraction form
    253,496.80/380,245.20 = 160,415.20/x
  3. Step 3: Cross multiply
    253,496.80x = 380,245.20 × 160,415.20
  4. Step 4: Simplify right side
    253,496.80x = 60,997,109,807.04
  5. Step 5: Solve for x
    x = 60,997,109,807.04/253,496.80
  6. Step 6: Final answer
    x = 240,622.80

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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.