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Finding the Fourth Proportional to 305,470.60, 421,551.74 and 169,505.08

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Solution

The fourth proportional to 305,470.60, 421,551.74 and 169,505.08 is: 233,918.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,470.60 : 421,551.74 = 169,505.08 : x
  2. Step 2: Convert to fraction form
    305,470.60/421,551.74 = 169,505.08/x
  3. Step 3: Cross multiply
    305,470.60x = 421,551.74 × 169,505.08
  4. Step 4: Simplify right side
    305,470.60x = 71,455,161,412.84
  5. Step 5: Solve for x
    x = 71,455,161,412.84/305,470.60
  6. Step 6: Final answer
    x = 233,918.29

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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.