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Finding the Fourth Proportional to 305,015.40, 420,921.30 and 169,058.12

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Solution

The fourth proportional to 305,015.40, 420,921.30 and 169,058.12 is: 233,300.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,015.40 : 420,921.30 = 169,058.12 : x
  2. Step 2: Convert to fraction form
    305,015.40/420,921.30 = 169,058.12/x
  3. Step 3: Cross multiply
    305,015.40x = 420,921.30 × 169,058.12
  4. Step 4: Simplify right side
    305,015.40x = 71,160,163,645.96
  5. Step 5: Solve for x
    x = 71,160,163,645.96/305,015.40
  6. Step 6: Final answer
    x = 233,300.23

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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.