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Finding the Fourth Proportional to 419,489.64, 628,886.16 and 166,614.12

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Solution

The fourth proportional to 419,489.64, 628,886.16 and 166,614.12 is: 249,782.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,489.64 : 628,886.16 = 166,614.12 : x
  2. Step 2: Convert to fraction form
    419,489.64/628,886.16 = 166,614.12/x
  3. Step 3: Cross multiply
    419,489.64x = 628,886.16 × 166,614.12
  4. Step 4: Simplify right side
    419,489.64x = 104,781,314,128.58
  5. Step 5: Solve for x
    x = 104,781,314,128.58/419,489.64
  6. Step 6: Final answer
    x = 249,782.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.