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Finding the Fourth Proportional to 305,053.70, 420,988.18 and 169,090.56

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Solution

The fourth proportional to 305,053.70, 420,988.18 and 169,090.56 is: 233,352.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,053.70 : 420,988.18 = 169,090.56 : x
  2. Step 2: Convert to fraction form
    305,053.70/420,988.18 = 169,090.56/x
  3. Step 3: Cross multiply
    305,053.70x = 420,988.18 × 169,090.56
  4. Step 4: Simplify right side
    305,053.70x = 71,185,127,109.58
  5. Step 5: Solve for x
    x = 71,185,127,109.58/305,053.70
  6. Step 6: Final answer
    x = 233,352.77

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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.