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Finding the Fourth Proportional to 425,446.20, 638,018.10 and 188,364.60

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Solution

The fourth proportional to 425,446.20, 638,018.10 and 188,364.60 is: 282,479.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,446.20 : 638,018.10 = 188,364.60 : x
  2. Step 2: Convert to fraction form
    425,446.20/638,018.10 = 188,364.60/x
  3. Step 3: Cross multiply
    425,446.20x = 638,018.10 × 188,364.60
  4. Step 4: Simplify right side
    425,446.20x = 120,180,024,199.26
  5. Step 5: Solve for x
    x = 120,180,024,199.26/425,446.20
  6. Step 6: Final answer
    x = 282,479.96

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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.