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Finding the Fourth Proportional to 305,126.83, 421,099.89 and 169,203.40

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Solution

The fourth proportional to 305,126.83, 421,099.89 and 169,203.40 is: 233,514.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,126.83 : 421,099.89 = 169,203.40 : x
  2. Step 2: Convert to fraction form
    305,126.83/421,099.89 = 169,203.40/x
  3. Step 3: Cross multiply
    305,126.83x = 421,099.89 × 169,203.40
  4. Step 4: Simplify right side
    305,126.83x = 71,251,533,127.63
  5. Step 5: Solve for x
    x = 71,251,533,127.63/305,126.83
  6. Step 6: Final answer
    x = 233,514.48

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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.