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Finding the Fourth Proportional to 419,483.64, 628,877.16 and 166,608.12

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Solution

The fourth proportional to 419,483.64, 628,877.16 and 166,608.12 is: 249,773.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,483.64 : 628,877.16 = 166,608.12 : x
  2. Step 2: Convert to fraction form
    419,483.64/628,877.16 = 166,608.12/x
  3. Step 3: Cross multiply
    419,483.64x = 628,877.16 × 166,608.12
  4. Step 4: Simplify right side
    419,483.64x = 104,776,041,338.54
  5. Step 5: Solve for x
    x = 104,776,041,338.54/419,483.64
  6. Step 6: Final answer
    x = 249,773.84

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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.