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Finding the Fourth Proportional to 320,155.10, 480,215.34 and 162,379.46

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Solution

The fourth proportional to 320,155.10, 480,215.34 and 162,379.46 is: 243,560.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,155.10 : 480,215.34 = 162,379.46 : x
  2. Step 2: Convert to fraction form
    320,155.10/480,215.34 = 162,379.46/x
  3. Step 3: Cross multiply
    320,155.10x = 480,215.34 × 162,379.46
  4. Step 4: Simplify right side
    320,155.10x = 77,977,107,592.92
  5. Step 5: Solve for x
    x = 77,977,107,592.92/320,155.10
  6. Step 6: Final answer
    x = 243,560.41

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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.