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Finding the Fourth Proportional to 275,438.40, 412,833.60 and 157,221.60

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Solution

The fourth proportional to 275,438.40, 412,833.60 and 157,221.60 is: 235,647.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,438.40 : 412,833.60 = 157,221.60 : x
  2. Step 2: Convert to fraction form
    275,438.40/412,833.60 = 157,221.60/x
  3. Step 3: Cross multiply
    275,438.40x = 412,833.60 × 157,221.60
  4. Step 4: Simplify right side
    275,438.40x = 64,906,359,125.76
  5. Step 5: Solve for x
    x = 64,906,359,125.76/275,438.40
  6. Step 6: Final answer
    x = 235,647.46

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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.