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Finding the Fourth Proportional to 418,745.60, 628,118.40 and 166,086.35

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Solution

The fourth proportional to 418,745.60, 628,118.40 and 166,086.35 is: 249,129.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,745.60 : 628,118.40 = 166,086.35 : x
  2. Step 2: Convert to fraction form
    418,745.60/628,118.40 = 166,086.35/x
  3. Step 3: Cross multiply
    418,745.60x = 628,118.40 × 166,086.35
  4. Step 4: Simplify right side
    418,745.60x = 104,321,892,423.84
  5. Step 5: Solve for x
    x = 104,321,892,423.84/418,745.60
  6. Step 6: Final answer
    x = 249,129.53

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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.