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Finding the Fourth Proportional to 503,660.64, 694,970.64 and 288,757.92

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Solution

The fourth proportional to 503,660.64, 694,970.64 and 288,757.92 is: 398,439.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,660.64 : 694,970.64 = 288,757.92 : x
  2. Step 2: Convert to fraction form
    503,660.64/694,970.64 = 288,757.92/x
  3. Step 3: Cross multiply
    503,660.64x = 694,970.64 × 288,757.92
  4. Step 4: Simplify right side
    503,660.64x = 200,678,276,467.47
  5. Step 5: Solve for x
    x = 200,678,276,467.47/503,660.64
  6. Step 6: Final answer
    x = 398,439.47

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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.