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Finding the Fourth Proportional to 419,863.52, 629,730.36 and 153,561.76

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Solution

The fourth proportional to 419,863.52, 629,730.36 and 153,561.76 is: 230,318.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,863.52 : 629,730.36 = 153,561.76 : x
  2. Step 2: Convert to fraction form
    419,863.52/629,730.36 = 153,561.76/x
  3. Step 3: Cross multiply
    419,863.52x = 629,730.36 × 153,561.76
  4. Step 4: Simplify right side
    419,863.52x = 96,702,502,407.03
  5. Step 5: Solve for x
    x = 96,702,502,407.03/419,863.52
  6. Step 6: Final answer
    x = 230,318.90

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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.