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Finding the Fourth Proportional to 305,129.61, 421,103.70 and 169,206.12

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Solution

The fourth proportional to 305,129.61, 421,103.70 and 169,206.12 is: 233,518.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,129.61 : 421,103.70 = 169,206.12 : x
  2. Step 2: Convert to fraction form
    305,129.61/421,103.70 = 169,206.12/x
  3. Step 3: Cross multiply
    305,129.61x = 421,103.70 × 169,206.12
  4. Step 4: Simplify right side
    305,129.61x = 71,253,323,194.64
  5. Step 5: Solve for x
    x = 71,253,323,194.64/305,129.61
  6. Step 6: Final answer
    x = 233,518.22

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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.