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Finding the Fourth Proportional to 320,438.70, 480,621.60 and 83,805.30

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Solution

The fourth proportional to 320,438.70, 480,621.60 and 83,805.30 is: 125,698.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,438.70 : 480,621.60 = 83,805.30 : x
  2. Step 2: Convert to fraction form
    320,438.70/480,621.60 = 83,805.30/x
  3. Step 3: Cross multiply
    320,438.70x = 480,621.60 × 83,805.30
  4. Step 4: Simplify right side
    320,438.70x = 40,278,637,374.48
  5. Step 5: Solve for x
    x = 40,278,637,374.48/320,438.70
  6. Step 6: Final answer
    x = 125,698.42

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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.