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Finding the Fourth Proportional to 253,652.76, 380,482.38 and 120,546

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Solution

The fourth proportional to 253,652.76, 380,482.38 and 120,546 is: 180,820.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,652.76 : 380,482.38 = 120,546 : x
  2. Step 2: Convert to fraction form
    253,652.76/380,482.38 = 120,546/x
  3. Step 3: Cross multiply
    253,652.76x = 380,482.38 × 120,546
  4. Step 4: Simplify right side
    253,652.76x = 45,865,628,979.48
  5. Step 5: Solve for x
    x = 45,865,628,979.48/253,652.76
  6. Step 6: Final answer
    x = 180,820.54

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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.