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Finding the Fourth Proportional to 320,165.14, 480,230.32 and 162,389.46

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Solution

The fourth proportional to 320,165.14, 480,230.32 and 162,389.46 is: 243,575.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,165.14 : 480,230.32 = 162,389.46 : x
  2. Step 2: Convert to fraction form
    320,165.14/480,230.32 = 162,389.46/x
  3. Step 3: Cross multiply
    320,165.14x = 480,230.32 × 162,389.46
  4. Step 4: Simplify right side
    320,165.14x = 77,984,342,340.43
  5. Step 5: Solve for x
    x = 77,984,342,340.43/320,165.14
  6. Step 6: Final answer
    x = 243,575.37

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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.