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Finding the Fourth Proportional to 305,339.46, 421,357.05 and 171,194.82

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Solution

The fourth proportional to 305,339.46, 421,357.05 and 171,194.82 is: 236,242.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,339.46 : 421,357.05 = 171,194.82 : x
  2. Step 2: Convert to fraction form
    305,339.46/421,357.05 = 171,194.82/x
  3. Step 3: Cross multiply
    305,339.46x = 421,357.05 × 171,194.82
  4. Step 4: Simplify right side
    305,339.46x = 72,134,144,330.48
  5. Step 5: Solve for x
    x = 72,134,144,330.48/305,339.46
  6. Step 6: Final answer
    x = 236,242.46

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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.