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Finding the Fourth Proportional to 418,743.60, 628,115.40 and 166,084.35

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Solution

The fourth proportional to 418,743.60, 628,115.40 and 166,084.35 is: 249,126.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,743.60 : 628,115.40 = 166,084.35 : x
  2. Step 2: Convert to fraction form
    418,743.60/628,115.40 = 166,084.35/x
  3. Step 3: Cross multiply
    418,743.60x = 628,115.40 × 166,084.35
  4. Step 4: Simplify right side
    418,743.60x = 104,320,137,933.99
  5. Step 5: Solve for x
    x = 104,320,137,933.99/418,743.60
  6. Step 6: Final answer
    x = 249,126.53

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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.