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Finding the Fourth Proportional to 305,391.82, 421,443.25 and 169,434.69

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Solution

The fourth proportional to 305,391.82, 421,443.25 and 169,434.69 is: 233,821.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,391.82 : 421,443.25 = 169,434.69 : x
  2. Step 2: Convert to fraction form
    305,391.82/421,443.25 = 169,434.69/x
  3. Step 3: Cross multiply
    305,391.82x = 421,443.25 × 169,434.69
  4. Step 4: Simplify right side
    305,391.82x = 71,407,105,365.41
  5. Step 5: Solve for x
    x = 71,407,105,365.41/305,391.82
  6. Step 6: Final answer
    x = 233,821.28

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1.5x scale

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.