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Finding the Fourth Proportional to 503,503.48, 694,753.50 and 288,604

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Solution

The fourth proportional to 503,503.48, 694,753.50 and 288,604 is: 398,226.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,503.48 : 694,753.50 = 288,604 : x
  2. Step 2: Convert to fraction form
    503,503.48/694,753.50 = 288,604/x
  3. Step 3: Cross multiply
    503,503.48x = 694,753.50 × 288,604
  4. Step 4: Simplify right side
    503,503.48x = 200,508,639,114
  5. Step 5: Solve for x
    x = 200,508,639,114/503,503.48
  6. Step 6: Final answer
    x = 398,226.92

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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.