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Finding the Fourth Proportional to 638,306.40, 957,805.20 and 283,375.20

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Solution

The fourth proportional to 638,306.40, 957,805.20 and 283,375.20 is: 425,216.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,306.40 : 957,805.20 = 283,375.20 : x
  2. Step 2: Convert to fraction form
    638,306.40/957,805.20 = 283,375.20/x
  3. Step 3: Cross multiply
    638,306.40x = 957,805.20 × 283,375.20
  4. Step 4: Simplify right side
    638,306.40x = 271,418,240,111.04
  5. Step 5: Solve for x
    x = 271,418,240,111.04/638,306.40
  6. Step 6: Final answer
    x = 425,216.23

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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.