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Finding the Fourth Proportional to 305,733.92, 421,889.68 and 171,572

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Solution

The fourth proportional to 305,733.92, 421,889.68 and 171,572 is: 236,756.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,733.92 : 421,889.68 = 171,572 : x
  2. Step 2: Convert to fraction form
    305,733.92/421,889.68 = 171,572/x
  3. Step 3: Cross multiply
    305,733.92x = 421,889.68 × 171,572
  4. Step 4: Simplify right side
    305,733.92x = 72,384,456,176.96
  5. Step 5: Solve for x
    x = 72,384,456,176.96/305,733.92
  6. Step 6: Final answer
    x = 236,756.38

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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.