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Finding the Fourth Proportional to 419,859.52, 629,724.36 and 153,557.76

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Solution

The fourth proportional to 419,859.52, 629,724.36 and 153,557.76 is: 230,312.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,859.52 : 629,724.36 = 153,557.76 : x
  2. Step 2: Convert to fraction form
    419,859.52/629,724.36 = 153,557.76/x
  3. Step 3: Cross multiply
    419,859.52x = 629,724.36 × 153,557.76
  4. Step 4: Simplify right side
    419,859.52x = 96,699,062,139.03
  5. Step 5: Solve for x
    x = 96,699,062,139.03/419,859.52
  6. Step 6: Final answer
    x = 230,312.90

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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.