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Finding the Fourth Proportional to 320,431.85, 480,606.06 and 83,792.78

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Solution

The fourth proportional to 320,431.85, 480,606.06 and 83,792.78 is: 125,678.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,431.85 : 480,606.06 = 83,792.78 : x
  2. Step 2: Convert to fraction form
    320,431.85/480,606.06 = 83,792.78/x
  3. Step 3: Cross multiply
    320,431.85x = 480,606.06 × 83,792.78
  4. Step 4: Simplify right side
    320,431.85x = 40,271,317,852.25
  5. Step 5: Solve for x
    x = 40,271,317,852.25/320,431.85
  6. Step 6: Final answer
    x = 125,678.26

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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.