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Finding the Fourth Proportional to 305,606.16, 421,740.18 and 169,642.80

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Solution

The fourth proportional to 305,606.16, 421,740.18 and 169,642.80 is: 234,109.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,606.16 : 421,740.18 = 169,642.80 : x
  2. Step 2: Convert to fraction form
    305,606.16/421,740.18 = 169,642.80/x
  3. Step 3: Cross multiply
    305,606.16x = 421,740.18 × 169,642.80
  4. Step 4: Simplify right side
    305,606.16x = 71,545,185,007.70
  5. Step 5: Solve for x
    x = 71,545,185,007.70/305,606.16
  6. Step 6: Final answer
    x = 234,109.11

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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.