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Finding the Fourth Proportional to 503,251.60, 694,506.32 and 288,433.12

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Solution

The fourth proportional to 503,251.60, 694,506.32 and 288,433.12 is: 398,048.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,251.60 : 694,506.32 = 288,433.12 : x
  2. Step 2: Convert to fraction form
    503,251.60/694,506.32 = 288,433.12/x
  3. Step 3: Cross multiply
    503,251.60x = 694,506.32 × 288,433.12
  4. Step 4: Simplify right side
    503,251.60x = 200,318,624,737.32
  5. Step 5: Solve for x
    x = 200,318,624,737.32/503,251.60
  6. Step 6: Final answer
    x = 398,048.66

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1.5x scale

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.