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Finding the Fourth Proportional to 320,442.60, 480,622.14 and 83,803.53

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Solution

The fourth proportional to 320,442.60, 480,622.14 and 83,803.53 is: 125,694.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,442.60 : 480,622.14 = 83,803.53 : x
  2. Step 2: Convert to fraction form
    320,442.60/480,622.14 = 83,803.53/x
  3. Step 3: Cross multiply
    320,442.60x = 480,622.14 × 83,803.53
  4. Step 4: Simplify right side
    320,442.60x = 40,277,831,928.15
  5. Step 5: Solve for x
    x = 40,277,831,928.15/320,442.60
  6. Step 6: Final answer
    x = 125,694.37

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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.