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Finding the Fourth Proportional to 305,805.51, 421,999.94 and 169,848.13

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Solution

The fourth proportional to 305,805.51, 421,999.94 and 169,848.13 is: 234,383.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,805.51 : 421,999.94 = 169,848.13 : x
  2. Step 2: Convert to fraction form
    305,805.51/421,999.94 = 169,848.13/x
  3. Step 3: Cross multiply
    305,805.51x = 421,999.94 × 169,848.13
  4. Step 4: Simplify right side
    305,805.51x = 71,675,900,669.11
  5. Step 5: Solve for x
    x = 71,675,900,669.11/305,805.51
  6. Step 6: Final answer
    x = 234,383.94

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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.