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Finding the Fourth Proportional to 305,373.66, 421,416.72 and 169,410.30

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Solution

The fourth proportional to 305,373.66, 421,416.72 and 169,410.30 is: 233,786.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,373.66 : 421,416.72 = 169,410.30 : x
  2. Step 2: Convert to fraction form
    305,373.66/421,416.72 = 169,410.30/x
  3. Step 3: Cross multiply
    305,373.66x = 421,416.72 × 169,410.30
  4. Step 4: Simplify right side
    305,373.66x = 71,392,332,960.22
  5. Step 5: Solve for x
    x = 71,392,332,960.22/305,373.66
  6. Step 6: Final answer
    x = 233,786.81

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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.