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Finding the Fourth Proportional to 320,402.60, 479,947.80 and 162,719.90

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Solution

The fourth proportional to 320,402.60, 479,947.80 and 162,719.90 is: 243,746.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,402.60 : 479,947.80 = 162,719.90 : x
  2. Step 2: Convert to fraction form
    320,402.60/479,947.80 = 162,719.90/x
  3. Step 3: Cross multiply
    320,402.60x = 479,947.80 × 162,719.90
  4. Step 4: Simplify right side
    320,402.60x = 78,097,058,021.22
  5. Step 5: Solve for x
    x = 78,097,058,021.22/320,402.60
  6. Step 6: Final answer
    x = 243,746.64

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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.