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Finding the Fourth Proportional to 305,131, 421,086.54 and 177,814.12

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Solution

The fourth proportional to 305,131, 421,086.54 and 177,814.12 is: 245,386.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,131 : 421,086.54 = 177,814.12 : x
  2. Step 2: Convert to fraction form
    305,131/421,086.54 = 177,814.12/x
  3. Step 3: Cross multiply
    305,131x = 421,086.54 × 177,814.12
  4. Step 4: Simplify right side
    305,131x = 74,875,132,553.94
  5. Step 5: Solve for x
    x = 74,875,132,553.94/305,131
  6. Step 6: Final answer
    x = 245,386.84

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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.