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Finding the Fourth Proportional to 305,128.72, 421,102.58 and 169,205.30

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Solution

The fourth proportional to 305,128.72, 421,102.58 and 169,205.30 is: 233,517.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,128.72 : 421,102.58 = 169,205.30 : x
  2. Step 2: Convert to fraction form
    305,128.72/421,102.58 = 169,205.30/x
  3. Step 3: Cross multiply
    305,128.72x = 421,102.58 × 169,205.30
  4. Step 4: Simplify right side
    305,128.72x = 71,252,788,379.67
  5. Step 5: Solve for x
    x = 71,252,788,379.67/305,128.72
  6. Step 6: Final answer
    x = 233,517.15

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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.