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Finding the Fourth Proportional to 420,496.80, 630,099.34 and 285,385.29

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Solution

The fourth proportional to 420,496.80, 630,099.34 and 285,385.29 is: 427,639.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,496.80 : 630,099.34 = 285,385.29 : x
  2. Step 2: Convert to fraction form
    420,496.80/630,099.34 = 285,385.29/x
  3. Step 3: Cross multiply
    420,496.80x = 630,099.34 × 285,385.29
  4. Step 4: Simplify right side
    420,496.80x = 179,821,082,161.25
  5. Step 5: Solve for x
    x = 179,821,082,161.25/420,496.80
  6. Step 6: Final answer
    x = 427,639.60

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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.