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Finding the Fourth Proportional to 418,702.62, 628,074.45 and 119,204.22

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Solution

The fourth proportional to 418,702.62, 628,074.45 and 119,204.22 is: 178,812.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,702.62 : 628,074.45 = 119,204.22 : x
  2. Step 2: Convert to fraction form
    418,702.62/628,074.45 = 119,204.22/x
  3. Step 3: Cross multiply
    418,702.62x = 628,074.45 × 119,204.22
  4. Step 4: Simplify right side
    418,702.62x = 74,869,124,914.18
  5. Step 5: Solve for x
    x = 74,869,124,914.18/418,702.62
  6. Step 6: Final answer
    x = 178,812.17

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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.