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Finding the Fourth Proportional to 305,271.33, 421,300.31 and 169,349.07

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Solution

The fourth proportional to 305,271.33, 421,300.31 and 169,349.07 is: 233,716.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,271.33 : 421,300.31 = 169,349.07 : x
  2. Step 2: Convert to fraction form
    305,271.33/421,300.31 = 169,349.07/x
  3. Step 3: Cross multiply
    305,271.33x = 421,300.31 × 169,349.07
  4. Step 4: Simplify right side
    305,271.33x = 71,346,815,689.21
  5. Step 5: Solve for x
    x = 71,346,815,689.21/305,271.33
  6. Step 6: Final answer
    x = 233,716.07

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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.