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Finding the Fourth Proportional to 305,617.65, 421,754 and 169,649.43

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Solution

The fourth proportional to 305,617.65, 421,754 and 169,649.43 is: 234,117.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,617.65 : 421,754 = 169,649.43 : x
  2. Step 2: Convert to fraction form
    305,617.65/421,754 = 169,649.43/x
  3. Step 3: Cross multiply
    305,617.65x = 421,754 × 169,649.43
  4. Step 4: Simplify right side
    305,617.65x = 71,550,325,700.22
  5. Step 5: Solve for x
    x = 71,550,325,700.22/305,617.65
  6. Step 6: Final answer
    x = 234,117.13

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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.