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Finding the Fourth Proportional to 418,714, 628,077.88 and 119,202

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Solution

The fourth proportional to 418,714, 628,077.88 and 119,202 is: 178,804.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,714 : 628,077.88 = 119,202 : x
  2. Step 2: Convert to fraction form
    418,714/628,077.88 = 119,202/x
  3. Step 3: Cross multiply
    418,714x = 628,077.88 × 119,202
  4. Step 4: Simplify right side
    418,714x = 74,868,139,451.76
  5. Step 5: Solve for x
    x = 74,868,139,451.76/418,714
  6. Step 6: Final answer
    x = 178,804.96

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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.