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Finding the Fourth Proportional to 320,089.28, 480,157.28 and 109,725.44

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Solution

The fourth proportional to 320,089.28, 480,157.28 and 109,725.44 is: 164,596.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,089.28 : 480,157.28 = 109,725.44 : x
  2. Step 2: Convert to fraction form
    320,089.28/480,157.28 = 109,725.44/x
  3. Step 3: Cross multiply
    320,089.28x = 480,157.28 × 109,725.44
  4. Step 4: Simplify right side
    320,089.28x = 52,685,468,817.20
  5. Step 5: Solve for x
    x = 52,685,468,817.20/320,089.28
  6. Step 6: Final answer
    x = 164,596.17

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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.