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Finding the Fourth Proportional to 512,379.83, 701,957.09 and 493,218.87

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Solution

The fourth proportional to 512,379.83, 701,957.09 and 493,218.87 is: 675,706.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,379.83 : 701,957.09 = 493,218.87 : x
  2. Step 2: Convert to fraction form
    512,379.83/701,957.09 = 493,218.87/x
  3. Step 3: Cross multiply
    512,379.83x = 701,957.09 × 493,218.87
  4. Step 4: Simplify right side
    512,379.83x = 346,218,482,493.15
  5. Step 5: Solve for x
    x = 346,218,482,493.15/512,379.83
  6. Step 6: Final answer
    x = 675,706.70

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.