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Finding the Fourth Proportional to 425,442.42, 638,282.25 and 185,577.75

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Solution

The fourth proportional to 425,442.42, 638,282.25 and 185,577.75 is: 278,418.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,442.42 : 638,282.25 = 185,577.75 : x
  2. Step 2: Convert to fraction form
    425,442.42/638,282.25 = 185,577.75/x
  3. Step 3: Cross multiply
    425,442.42x = 638,282.25 × 185,577.75
  4. Step 4: Simplify right side
    425,442.42x = 118,450,983,819.94
  5. Step 5: Solve for x
    x = 118,450,983,819.94/425,442.42
  6. Step 6: Final answer
    x = 278,418.37

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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.