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Finding the Fourth Proportional to 305,200.36, 421,201.50 and 169,277.08

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Solution

The fourth proportional to 305,200.36, 421,201.50 and 169,277.08 is: 233,616.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,200.36 : 421,201.50 = 169,277.08 : x
  2. Step 2: Convert to fraction form
    305,200.36/421,201.50 = 169,277.08/x
  3. Step 3: Cross multiply
    305,200.36x = 421,201.50 × 169,277.08
  4. Step 4: Simplify right side
    305,200.36x = 71,299,760,011.62
  5. Step 5: Solve for x
    x = 71,299,760,011.62/305,200.36
  6. Step 6: Final answer
    x = 233,616.24

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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.