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Finding the Fourth Proportional to 418,008.96, 627,229.44 and 207,642.24

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Solution

The fourth proportional to 418,008.96, 627,229.44 and 207,642.24 is: 311,570.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,008.96 : 627,229.44 = 207,642.24 : x
  2. Step 2: Convert to fraction form
    418,008.96/627,229.44 = 207,642.24/x
  3. Step 3: Cross multiply
    418,008.96x = 627,229.44 × 207,642.24
  4. Step 4: Simplify right side
    418,008.96x = 130,239,325,915.55
  5. Step 5: Solve for x
    x = 130,239,325,915.55/418,008.96
  6. Step 6: Final answer
    x = 311,570.66

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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.