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Finding the Fourth Proportional to 295,924, 408,385.20 and 161,796.64

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Solution

The fourth proportional to 295,924, 408,385.20 and 161,796.64 is: 223,284.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,924 : 408,385.20 = 161,796.64 : x
  2. Step 2: Convert to fraction form
    295,924/408,385.20 = 161,796.64/x
  3. Step 3: Cross multiply
    295,924x = 408,385.20 × 161,796.64
  4. Step 4: Simplify right side
    295,924x = 66,075,353,185.73
  5. Step 5: Solve for x
    x = 66,075,353,185.73/295,924
  6. Step 6: Final answer
    x = 223,284.87

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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.