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Finding the Fourth Proportional to 320,428.70, 480,606.60 and 83,795.30

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Solution

The fourth proportional to 320,428.70, 480,606.60 and 83,795.30 is: 125,683.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,428.70 : 480,606.60 = 83,795.30 : x
  2. Step 2: Convert to fraction form
    320,428.70/480,606.60 = 83,795.30/x
  3. Step 3: Cross multiply
    320,428.70x = 480,606.60 × 83,795.30
  4. Step 4: Simplify right side
    320,428.70x = 40,272,574,228.98
  5. Step 5: Solve for x
    x = 40,272,574,228.98/320,428.70
  6. Step 6: Final answer
    x = 125,683.42

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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.