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Finding the Fourth Proportional to 275,747.05, 413,620.58 and 157,430.35

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Solution

The fourth proportional to 275,747.05, 413,620.58 and 157,430.35 is: 236,145.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,747.05 : 413,620.58 = 157,430.35 : x
  2. Step 2: Convert to fraction form
    275,747.05/413,620.58 = 157,430.35/x
  3. Step 3: Cross multiply
    275,747.05x = 413,620.58 × 157,430.35
  4. Step 4: Simplify right side
    275,747.05x = 65,116,431,889.45
  5. Step 5: Solve for x
    x = 65,116,431,889.45/275,747.05
  6. Step 6: Final answer
    x = 236,145.53

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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.