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Finding the Fourth Proportional to 320,118.93, 480,178.40 and 109,758.69

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Solution

The fourth proportional to 320,118.93, 480,178.40 and 109,758.69 is: 164,638.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,118.93 : 480,178.40 = 109,758.69 : x
  2. Step 2: Convert to fraction form
    320,118.93/480,178.40 = 109,758.69/x
  3. Step 3: Cross multiply
    320,118.93x = 480,178.40 × 109,758.69
  4. Step 4: Simplify right side
    320,118.93x = 52,703,751,601.50
  5. Step 5: Solve for x
    x = 52,703,751,601.50/320,118.93
  6. Step 6: Final answer
    x = 164,638.04

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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.