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Finding the Fourth Proportional to 320,099.94, 480,174.84 and 95,443.20

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Solution

The fourth proportional to 320,099.94, 480,174.84 and 95,443.20 is: 143,172.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,099.94 : 480,174.84 = 95,443.20 : x
  2. Step 2: Convert to fraction form
    320,099.94/480,174.84 = 95,443.20/x
  3. Step 3: Cross multiply
    320,099.94x = 480,174.84 × 95,443.20
  4. Step 4: Simplify right side
    320,099.94x = 45,829,423,289.09
  5. Step 5: Solve for x
    x = 45,829,423,289.09/320,099.94
  6. Step 6: Final answer
    x = 143,172.23

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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.