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Finding the Fourth Proportional to 412,695.30, 619,132.06 and 128,380.44

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Solution

The fourth proportional to 412,695.30, 619,132.06 and 128,380.44 is: 192,598.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,695.30 : 619,132.06 = 128,380.44 : x
  2. Step 2: Convert to fraction form
    412,695.30/619,132.06 = 128,380.44/x
  3. Step 3: Cross multiply
    412,695.30x = 619,132.06 × 128,380.44
  4. Step 4: Simplify right side
    412,695.30x = 79,484,446,280.91
  5. Step 5: Solve for x
    x = 79,484,446,280.91/412,695.30
  6. Step 6: Final answer
    x = 192,598.38

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Why These Related Problems?

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