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Finding the Fourth Proportional to 512,472.20, 768,708.30 and 291,288.20

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Solution

The fourth proportional to 512,472.20, 768,708.30 and 291,288.20 is: 436,932.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,472.20 : 768,708.30 = 291,288.20 : x
  2. Step 2: Convert to fraction form
    512,472.20/768,708.30 = 291,288.20/x
  3. Step 3: Cross multiply
    512,472.20x = 768,708.30 × 291,288.20
  4. Step 4: Simplify right side
    512,472.20x = 223,915,657,032.06
  5. Step 5: Solve for x
    x = 223,915,657,032.06/512,472.20
  6. Step 6: Final answer
    x = 436,932.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.