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Finding the Fourth Proportional to 305,130.72, 421,105.34 and 169,207.30

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Solution

The fourth proportional to 305,130.72, 421,105.34 and 169,207.30 is: 233,519.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,130.72 : 421,105.34 = 169,207.30 : x
  2. Step 2: Convert to fraction form
    305,130.72/421,105.34 = 169,207.30/x
  3. Step 3: Cross multiply
    305,130.72x = 421,105.34 × 169,207.30
  4. Step 4: Simplify right side
    305,130.72x = 71,254,097,596.98
  5. Step 5: Solve for x
    x = 71,254,097,596.98/305,130.72
  6. Step 6: Final answer
    x = 233,519.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.