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Finding the Fourth Proportional to 295,574.88, 407,890.80 and 161,436

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Solution

The fourth proportional to 295,574.88, 407,890.80 and 161,436 is: 222,780.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,574.88 : 407,890.80 = 161,436 : x
  2. Step 2: Convert to fraction form
    295,574.88/407,890.80 = 161,436/x
  3. Step 3: Cross multiply
    295,574.88x = 407,890.80 × 161,436
  4. Step 4: Simplify right side
    295,574.88x = 65,848,259,188.80
  5. Step 5: Solve for x
    x = 65,848,259,188.80/295,574.88
  6. Step 6: Final answer
    x = 222,780.30

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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.