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Finding the Fourth Proportional to 418,054.31, 627,094.47 and 198,916.15

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Solution

The fourth proportional to 418,054.31, 627,094.47 and 198,916.15 is: 298,380.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,054.31 : 627,094.47 = 198,916.15 : x
  2. Step 2: Convert to fraction form
    418,054.31/627,094.47 = 198,916.15/x
  3. Step 3: Cross multiply
    418,054.31x = 627,094.47 × 198,916.15
  4. Step 4: Simplify right side
    418,054.31x = 124,739,217,658.69
  5. Step 5: Solve for x
    x = 124,739,217,658.69/418,054.31
  6. Step 6: Final answer
    x = 298,380.41

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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.