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Finding the Fourth Proportional to 505,368.27, 696,494.78 and 418,871.73

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Solution

The fourth proportional to 505,368.27, 696,494.78 and 418,871.73 is: 577,285.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,368.27 : 696,494.78 = 418,871.73 : x
  2. Step 2: Convert to fraction form
    505,368.27/696,494.78 = 418,871.73/x
  3. Step 3: Cross multiply
    505,368.27x = 696,494.78 × 418,871.73
  4. Step 4: Simplify right side
    505,368.27x = 291,741,973,434.57
  5. Step 5: Solve for x
    x = 291,741,973,434.57/505,368.27
  6. Step 6: Final answer
    x = 577,285.89

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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.