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Finding the Fourth Proportional to 419,864.52, 629,731.86 and 153,562.76

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Solution

The fourth proportional to 419,864.52, 629,731.86 and 153,562.76 is: 230,320.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,864.52 : 629,731.86 = 153,562.76 : x
  2. Step 2: Convert to fraction form
    419,864.52/629,731.86 = 153,562.76/x
  3. Step 3: Cross multiply
    419,864.52x = 629,731.86 × 153,562.76
  4. Step 4: Simplify right side
    419,864.52x = 96,703,362,481.53
  5. Step 5: Solve for x
    x = 96,703,362,481.53/419,864.52
  6. Step 6: Final answer
    x = 230,320.40

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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.