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Finding the Fourth Proportional to 320,054.65, 480,153.48 and 120,376.77

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Solution

The fourth proportional to 320,054.65, 480,153.48 and 120,376.77 is: 180,592.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,054.65 : 480,153.48 = 120,376.77 : x
  2. Step 2: Convert to fraction form
    320,054.65/480,153.48 = 120,376.77/x
  3. Step 3: Cross multiply
    320,054.65x = 480,153.48 × 120,376.77
  4. Step 4: Simplify right side
    320,054.65x = 57,799,324,884.96
  5. Step 5: Solve for x
    x = 57,799,324,884.96/320,054.65
  6. Step 6: Final answer
    x = 180,592.05

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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.