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Finding the Fourth Proportional to 397,266.30, 595,899.45 and 172,880.10

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Solution

The fourth proportional to 397,266.30, 595,899.45 and 172,880.10 is: 259,320.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,266.30 : 595,899.45 = 172,880.10 : x
  2. Step 2: Convert to fraction form
    397,266.30/595,899.45 = 172,880.10/x
  3. Step 3: Cross multiply
    397,266.30x = 595,899.45 × 172,880.10
  4. Step 4: Simplify right side
    397,266.30x = 103,019,156,505.95
  5. Step 5: Solve for x
    x = 103,019,156,505.95/397,266.30
  6. Step 6: Final answer
    x = 259,320.15

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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.