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Finding the Fourth Proportional to 420,003.98, 629,808.94 and 153,578.18

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Solution

The fourth proportional to 420,003.98, 629,808.94 and 153,578.18 is: 230,295.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,003.98 : 629,808.94 = 153,578.18 : x
  2. Step 2: Convert to fraction form
    420,003.98/629,808.94 = 153,578.18/x
  3. Step 3: Cross multiply
    420,003.98x = 629,808.94 × 153,578.18
  4. Step 4: Simplify right side
    420,003.98x = 96,724,910,752.93
  5. Step 5: Solve for x
    x = 96,724,910,752.93/420,003.98
  6. Step 6: Final answer
    x = 230,295.22

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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.