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Finding the Fourth Proportional to 499,893.20, 689,843.40 and 273,534.16

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Solution

The fourth proportional to 499,893.20, 689,843.40 and 273,534.16 is: 377,472.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,893.20 : 689,843.40 = 273,534.16 : x
  2. Step 2: Convert to fraction form
    499,893.20/689,843.40 = 273,534.16/x
  3. Step 3: Cross multiply
    499,893.20x = 689,843.40 × 273,534.16
  4. Step 4: Simplify right side
    499,893.20x = 188,695,734,950.54
  5. Step 5: Solve for x
    x = 188,695,734,950.54/499,893.20
  6. Step 6: Final answer
    x = 377,472.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.