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Finding the Fourth Proportional to 305,151.32, 421,133.64 and 169,198.76

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Solution

The fourth proportional to 305,151.32, 421,133.64 and 169,198.76 is: 233,508.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,151.32 : 421,133.64 = 169,198.76 : x
  2. Step 2: Convert to fraction form
    305,151.32/421,133.64 = 169,198.76/x
  3. Step 3: Cross multiply
    305,151.32x = 421,133.64 × 169,198.76
  4. Step 4: Simplify right side
    305,151.32x = 71,255,289,682.29
  5. Step 5: Solve for x
    x = 71,255,289,682.29/305,151.32
  6. Step 6: Final answer
    x = 233,508.05

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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.