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Finding the Fourth Proportional to 512,102.20, 768,153.30 and 323,145.40

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Solution

The fourth proportional to 512,102.20, 768,153.30 and 323,145.40 is: 484,718.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,102.20 : 768,153.30 = 323,145.40 : x
  2. Step 2: Convert to fraction form
    512,102.20/768,153.30 = 323,145.40/x
  3. Step 3: Cross multiply
    512,102.20x = 768,153.30 × 323,145.40
  4. Step 4: Simplify right side
    512,102.20x = 248,225,205,389.82
  5. Step 5: Solve for x
    x = 248,225,205,389.82/512,102.20
  6. Step 6: Final answer
    x = 484,718.10

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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.