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Finding the Fourth Proportional to 320,057.61, 480,387.74 and 162,399.21

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Solution

The fourth proportional to 320,057.61, 480,387.74 and 162,399.21 is: 243,751.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,057.61 : 480,387.74 = 162,399.21 : x
  2. Step 2: Convert to fraction form
    320,057.61/480,387.74 = 162,399.21/x
  3. Step 3: Cross multiply
    320,057.61x = 480,387.74 × 162,399.21
  4. Step 4: Simplify right side
    320,057.61x = 78,014,588,657.69
  5. Step 5: Solve for x
    x = 78,014,588,657.69/320,057.61
  6. Step 6: Final answer
    x = 243,751.71

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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.