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Finding the Fourth Proportional to 503,410.23, 694,737.12 and 288,582.59

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Solution

The fourth proportional to 503,410.23, 694,737.12 and 288,582.59 is: 398,261.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,410.23 : 694,737.12 = 288,582.59 : x
  2. Step 2: Convert to fraction form
    503,410.23/694,737.12 = 288,582.59/x
  3. Step 3: Cross multiply
    503,410.23x = 694,737.12 × 288,582.59
  4. Step 4: Simplify right side
    503,410.23x = 200,489,040,277.77
  5. Step 5: Solve for x
    x = 200,489,040,277.77/503,410.23
  6. Step 6: Final answer
    x = 398,261.75

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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.