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Finding the Fourth Proportional to 320,469.64, 480,003.90 and 162,426.76

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Solution

The fourth proportional to 320,469.64, 480,003.90 and 162,426.76 is: 243,285.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,469.64 : 480,003.90 = 162,426.76 : x
  2. Step 2: Convert to fraction form
    320,469.64/480,003.90 = 162,426.76/x
  3. Step 3: Cross multiply
    320,469.64x = 480,003.90 × 162,426.76
  4. Step 4: Simplify right side
    320,469.64x = 77,965,478,264.36
  5. Step 5: Solve for x
    x = 77,965,478,264.36/320,469.64
  6. Step 6: Final answer
    x = 243,285.07

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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.