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Finding the Fourth Proportional to 418,122.57, 627,168.66 and 118,602

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Solution

The fourth proportional to 418,122.57, 627,168.66 and 118,602 is: 177,898.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,122.57 : 627,168.66 = 118,602 : x
  2. Step 2: Convert to fraction form
    418,122.57/627,168.66 = 118,602/x
  3. Step 3: Cross multiply
    418,122.57x = 627,168.66 × 118,602
  4. Step 4: Simplify right side
    418,122.57x = 74,383,457,413.32
  5. Step 5: Solve for x
    x = 74,383,457,413.32/418,122.57
  6. Step 6: Final answer
    x = 177,898.69

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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.