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Finding the Fourth Proportional to 305,038.39, 420,978.17 and 169,114.97

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Solution

The fourth proportional to 305,038.39, 420,978.17 and 169,114.97 is: 233,392.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,038.39 : 420,978.17 = 169,114.97 : x
  2. Step 2: Convert to fraction form
    305,038.39/420,978.17 = 169,114.97/x
  3. Step 3: Cross multiply
    305,038.39x = 420,978.17 × 169,114.97
  4. Step 4: Simplify right side
    305,038.39x = 71,193,709,744.63
  5. Step 5: Solve for x
    x = 71,193,709,744.63/305,038.39
  6. Step 6: Final answer
    x = 233,392.62

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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.