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Finding the Fourth Proportional to 320,086.28, 480,430.74 and 162,427.88

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Solution

The fourth proportional to 320,086.28, 480,430.74 and 162,427.88 is: 243,794.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,086.28 : 480,430.74 = 162,427.88 : x
  2. Step 2: Convert to fraction form
    320,086.28/480,430.74 = 162,427.88/x
  3. Step 3: Cross multiply
    320,086.28x = 480,430.74 × 162,427.88
  4. Step 4: Simplify right side
    320,086.28x = 78,035,346,585.03
  5. Step 5: Solve for x
    x = 78,035,346,585.03/320,086.28
  6. Step 6: Final answer
    x = 243,794.72

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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.