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Finding the Fourth Proportional to 503,391.84, 694,580.04 and 288,599.28

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Solution

The fourth proportional to 503,391.84, 694,580.04 and 288,599.28 is: 398,209.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,391.84 : 694,580.04 = 288,599.28 : x
  2. Step 2: Convert to fraction form
    503,391.84/694,580.04 = 288,599.28/x
  3. Step 3: Cross multiply
    503,391.84x = 694,580.04 × 288,599.28
  4. Step 4: Simplify right side
    503,391.84x = 200,455,299,446.37
  5. Step 5: Solve for x
    x = 200,455,299,446.37/503,391.84
  6. Step 6: Final answer
    x = 398,209.27

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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.