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Finding the Fourth Proportional to 418,809.60, 628,214.40 and 166,150.35

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Solution

The fourth proportional to 418,809.60, 628,214.40 and 166,150.35 is: 249,225.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,809.60 : 628,214.40 = 166,150.35 : x
  2. Step 2: Convert to fraction form
    418,809.60/628,214.40 = 166,150.35/x
  3. Step 3: Cross multiply
    418,809.60x = 628,214.40 × 166,150.35
  4. Step 4: Simplify right side
    418,809.60x = 104,378,042,435.04
  5. Step 5: Solve for x
    x = 104,378,042,435.04/418,809.60
  6. Step 6: Final answer
    x = 249,225.53

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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.