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Finding the Fourth Proportional to 418,234.22, 627,350.10 and 118,715.05

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Solution

The fourth proportional to 418,234.22, 627,350.10 and 118,715.05 is: 178,072.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,234.22 : 627,350.10 = 118,715.05 : x
  2. Step 2: Convert to fraction form
    418,234.22/627,350.10 = 118,715.05/x
  3. Step 3: Cross multiply
    418,234.22x = 627,350.10 × 118,715.05
  4. Step 4: Simplify right side
    418,234.22x = 74,475,898,828.01
  5. Step 5: Solve for x
    x = 74,475,898,828.01/418,234.22
  6. Step 6: Final answer
    x = 178,072.23

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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.