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Finding the Fourth Proportional to 305,125.58, 421,098.16 and 169,202.16

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Solution

The fourth proportional to 305,125.58, 421,098.16 and 169,202.16 is: 233,512.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,125.58 : 421,098.16 = 169,202.16 : x
  2. Step 2: Convert to fraction form
    305,125.58/421,098.16 = 169,202.16/x
  3. Step 3: Cross multiply
    305,125.58x = 421,098.16 × 169,202.16
  4. Step 4: Simplify right side
    305,125.58x = 71,250,718,244.03
  5. Step 5: Solve for x
    x = 71,250,718,244.03/305,125.58
  6. Step 6: Final answer
    x = 233,512.77

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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.