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Finding the Fourth Proportional to 503,178.08, 694,485 and 288,462.32

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Solution

The fourth proportional to 503,178.08, 694,485 and 288,462.32 is: 398,134.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,178.08 : 694,485 = 288,462.32 : x
  2. Step 2: Convert to fraction form
    503,178.08/694,485 = 288,462.32/x
  3. Step 3: Cross multiply
    503,178.08x = 694,485 × 288,462.32
  4. Step 4: Simplify right side
    503,178.08x = 200,332,754,305.20
  5. Step 5: Solve for x
    x = 200,332,754,305.20/503,178.08
  6. Step 6: Final answer
    x = 398,134.90

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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.