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Finding the Fourth Proportional to 420,292.50, 629,883.24 and 153,796.44

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Solution

The fourth proportional to 420,292.50, 629,883.24 and 153,796.44 is: 230,491.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,292.50 : 629,883.24 = 153,796.44 : x
  2. Step 2: Convert to fraction form
    420,292.50/629,883.24 = 153,796.44/x
  3. Step 3: Cross multiply
    420,292.50x = 629,883.24 × 153,796.44
  4. Step 4: Simplify right side
    420,292.50x = 96,873,799,927.67
  5. Step 5: Solve for x
    x = 96,873,799,927.67/420,292.50
  6. Step 6: Final answer
    x = 230,491.38

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1.5x scale

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.