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Finding the Fourth Proportional to 275,747.30, 413,620.95 and 157,430.60

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Solution

The fourth proportional to 275,747.30, 413,620.95 and 157,430.60 is: 236,145.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,747.30 : 413,620.95 = 157,430.60 : x
  2. Step 2: Convert to fraction form
    275,747.30/413,620.95 = 157,430.60/x
  3. Step 3: Cross multiply
    275,747.30x = 413,620.95 × 157,430.60
  4. Step 4: Simplify right side
    275,747.30x = 65,116,594,331.07
  5. Step 5: Solve for x
    x = 65,116,594,331.07/275,747.30
  6. Step 6: Final answer
    x = 236,145.90

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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.