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Finding the Fourth Proportional to 254,153.12, 380,981.82 and 120,997.62

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Solution

The fourth proportional to 254,153.12, 380,981.82 and 120,997.62 is: 181,378.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,153.12 : 380,981.82 = 120,997.62 : x
  2. Step 2: Convert to fraction form
    254,153.12/380,981.82 = 120,997.62/x
  3. Step 3: Cross multiply
    254,153.12x = 380,981.82 × 120,997.62
  4. Step 4: Simplify right side
    254,153.12x = 46,097,893,483.27
  5. Step 5: Solve for x
    x = 46,097,893,483.27/254,153.12
  6. Step 6: Final answer
    x = 181,378.43

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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.