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Finding the Fourth Proportional to 500,071.20, 690,092.64 and 273,714

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Solution

The fourth proportional to 500,071.20, 690,092.64 and 273,714 is: 377,722.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,071.20 : 690,092.64 = 273,714 : x
  2. Step 2: Convert to fraction form
    500,071.20/690,092.64 = 273,714/x
  3. Step 3: Cross multiply
    500,071.20x = 690,092.64 × 273,714
  4. Step 4: Simplify right side
    500,071.20x = 188,888,016,864.96
  5. Step 5: Solve for x
    x = 188,888,016,864.96/500,071.20
  6. Step 6: Final answer
    x = 377,722.25

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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.