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Finding the Fourth Proportional to 420,546.88, 630,174.36 and 285,435.39

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Solution

The fourth proportional to 420,546.88, 630,174.36 and 285,435.39 is: 427,714.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,546.88 : 630,174.36 = 285,435.39 : x
  2. Step 2: Convert to fraction form
    420,546.88/630,174.36 = 285,435.39/x
  3. Step 3: Cross multiply
    420,546.88x = 630,174.36 × 285,435.39
  4. Step 4: Simplify right side
    420,546.88x = 179,874,064,214.60
  5. Step 5: Solve for x
    x = 179,874,064,214.60/420,546.88
  6. Step 6: Final answer
    x = 427,714.66

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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.