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Finding the Fourth Proportional to 320,419.70, 480,656.89 and 83,762

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Solution

The fourth proportional to 320,419.70, 480,656.89 and 83,762 is: 125,650.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,419.70 : 480,656.89 = 83,762 : x
  2. Step 2: Convert to fraction form
    320,419.70/480,656.89 = 83,762/x
  3. Step 3: Cross multiply
    320,419.70x = 480,656.89 × 83,762
  4. Step 4: Simplify right side
    320,419.70x = 40,260,782,420.18
  5. Step 5: Solve for x
    x = 40,260,782,420.18/320,419.70
  6. Step 6: Final answer
    x = 125,650.15

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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.